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Finding the Fourth Proportional to 1,194.75, 1,648.36 and 775.43

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Solution

The fourth proportional to 1,194.75, 1,648.36 and 775.43 is: 1,069.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.75 : 1,648.36 = 775.43 : x
  2. Step 2: Convert to fraction form
    1,194.75/1,648.36 = 775.43/x
  3. Step 3: Cross multiply
    1,194.75x = 1,648.36 × 775.43
  4. Step 4: Simplify right side
    1,194.75x = 1,278,187.79
  5. Step 5: Solve for x
    x = 1,278,187.79/1,194.75
  6. Step 6: Final answer
    x = 1,069.84

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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.