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Finding the Fourth Proportional to 616.38, 923.13 and 519.18

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Solution

The fourth proportional to 616.38, 923.13 and 519.18 is: 777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.38 : 923.13 = 519.18 : x
  2. Step 2: Convert to fraction form
    616.38/923.13 = 519.18/x
  3. Step 3: Cross multiply
    616.38x = 923.13 × 519.18
  4. Step 4: Simplify right side
    616.38x = 479,270.63
  5. Step 5: Solve for x
    x = 479,270.63/616.38
  6. Step 6: Final answer
    x = 777.56

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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.