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Finding the Fourth Proportional to 946.78, 1,306.52 and 527.14

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Solution

The fourth proportional to 946.78, 1,306.52 and 527.14 is: 727.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.78 : 1,306.52 = 527.14 : x
  2. Step 2: Convert to fraction form
    946.78/1,306.52 = 527.14/x
  3. Step 3: Cross multiply
    946.78x = 1,306.52 × 527.14
  4. Step 4: Simplify right side
    946.78x = 688,718.95
  5. Step 5: Solve for x
    x = 688,718.95/946.78
  6. Step 6: Final answer
    x = 727.43

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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.