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Finding the Fourth Proportional to 621.15, 932.26 and 415.41

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Solution

The fourth proportional to 621.15, 932.26 and 415.41 is: 623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.15 : 932.26 = 415.41 : x
  2. Step 2: Convert to fraction form
    621.15/932.26 = 415.41/x
  3. Step 3: Cross multiply
    621.15x = 932.26 × 415.41
  4. Step 4: Simplify right side
    621.15x = 387,270.13
  5. Step 5: Solve for x
    x = 387,270.13/621.15
  6. Step 6: Final answer
    x = 623.47

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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.