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Finding the Fourth Proportional to 1,194.04, 1,648.45 and 774.77

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Solution

The fourth proportional to 1,194.04, 1,648.45 and 774.77 is: 1,069.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.04 : 1,648.45 = 774.77 : x
  2. Step 2: Convert to fraction form
    1,194.04/1,648.45 = 774.77/x
  3. Step 3: Cross multiply
    1,194.04x = 1,648.45 × 774.77
  4. Step 4: Simplify right side
    1,194.04x = 1,277,162.33
  5. Step 5: Solve for x
    x = 1,277,162.33/1,194.04
  6. Step 6: Final answer
    x = 1,069.61

Related Problems

Find fourth proportional to 597.02, 824.23 and 387.38
Half scale
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Double scale
Find fourth proportional to 1,195.04, 1,649.83 and 775.77
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.