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Finding the Fourth Proportional to 1,194.16, 1,647.61 and 774.76

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Solution

The fourth proportional to 1,194.16, 1,647.61 and 774.76 is: 1,068.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.16 : 1,647.61 = 774.76 : x
  2. Step 2: Convert to fraction form
    1,194.16/1,647.61 = 774.76/x
  3. Step 3: Cross multiply
    1,194.16x = 1,647.61 × 774.76
  4. Step 4: Simplify right side
    1,194.16x = 1,276,496.27
  5. Step 5: Solve for x
    x = 1,276,496.27/1,194.16
  6. Step 6: Final answer
    x = 1,068.95

Related Problems

Find fourth proportional to 597.08, 823.80 and 387.38
Half scale
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Double scale
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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.