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Finding the Fourth Proportional to 616.29, 923.21 and 500.86

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Solution

The fourth proportional to 616.29, 923.21 and 500.86 is: 750.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.29 : 923.21 = 500.86 : x
  2. Step 2: Convert to fraction form
    616.29/923.21 = 500.86/x
  3. Step 3: Cross multiply
    616.29x = 923.21 × 500.86
  4. Step 4: Simplify right side
    616.29x = 462,398.96
  5. Step 5: Solve for x
    x = 462,398.96/616.29
  6. Step 6: Final answer
    x = 750.29

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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.