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Finding the Fourth Proportional to 621.49, 932.64 and 416.29

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Solution

The fourth proportional to 621.49, 932.64 and 416.29 is: 624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.49 : 932.64 = 416.29 : x
  2. Step 2: Convert to fraction form
    621.49/932.64 = 416.29/x
  3. Step 3: Cross multiply
    621.49x = 932.64 × 416.29
  4. Step 4: Simplify right side
    621.49x = 388,248.71
  5. Step 5: Solve for x
    x = 388,248.71/621.49
  6. Step 6: Final answer
    x = 624.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.