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Finding the Fourth Proportional to 621.42, 930.92 and 476.43

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Solution

The fourth proportional to 621.42, 930.92 and 476.43 is: 713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.42 : 930.92 = 476.43 : x
  2. Step 2: Convert to fraction form
    621.42/930.92 = 476.43/x
  3. Step 3: Cross multiply
    621.42x = 930.92 × 476.43
  4. Step 4: Simplify right side
    621.42x = 443,515.83
  5. Step 5: Solve for x
    x = 443,515.83/621.42
  6. Step 6: Final answer
    x = 713.71

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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.