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Finding the Fourth Proportional to 621.86, 932.67 and 500.83

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Solution

The fourth proportional to 621.86, 932.67 and 500.83 is: 751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.86 : 932.67 = 500.83 : x
  2. Step 2: Convert to fraction form
    621.86/932.67 = 500.83/x
  3. Step 3: Cross multiply
    621.86x = 932.67 × 500.83
  4. Step 4: Simplify right side
    621.86x = 467,104.45
  5. Step 5: Solve for x
    x = 467,104.45/621.86
  6. Step 6: Final answer
    x = 751.14

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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.