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Finding the Fourth Proportional to 616.46, 923.64 and 372.47

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Solution

The fourth proportional to 616.46, 923.64 and 372.47 is: 558.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.46 : 923.64 = 372.47 : x
  2. Step 2: Convert to fraction form
    616.46/923.64 = 372.47/x
  3. Step 3: Cross multiply
    616.46x = 923.64 × 372.47
  4. Step 4: Simplify right side
    616.46x = 344,027.04
  5. Step 5: Solve for x
    x = 344,027.04/616.46
  6. Step 6: Final answer
    x = 558.07

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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.