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Finding the Fourth Proportional to 616.59, 923.30 and 410.19

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Solution

The fourth proportional to 616.59, 923.30 and 410.19 is: 614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.59 : 923.30 = 410.19 : x
  2. Step 2: Convert to fraction form
    616.59/923.30 = 410.19/x
  3. Step 3: Cross multiply
    616.59x = 923.30 × 410.19
  4. Step 4: Simplify right side
    616.59x = 378,726.38
  5. Step 5: Solve for x
    x = 378,726.38/616.59
  6. Step 6: Final answer
    x = 614.23

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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.