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Finding the Fourth Proportional to 616.89, 923.49 and 372.68

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Solution

The fourth proportional to 616.89, 923.49 and 372.68 is: 557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.89 : 923.49 = 372.68 : x
  2. Step 2: Convert to fraction form
    616.89/923.49 = 372.68/x
  3. Step 3: Cross multiply
    616.89x = 923.49 × 372.68
  4. Step 4: Simplify right side
    616.89x = 344,161.64
  5. Step 5: Solve for x
    x = 344,161.64/616.89
  6. Step 6: Final answer
    x = 557.90

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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.