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Finding the Fourth Proportional to 616.56, 923.32 and 372.36

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Solution

The fourth proportional to 616.56, 923.32 and 372.36 is: 557.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.56 : 923.32 = 372.36 : x
  2. Step 2: Convert to fraction form
    616.56/923.32 = 372.36/x
  3. Step 3: Cross multiply
    616.56x = 923.32 × 372.36
  4. Step 4: Simplify right side
    616.56x = 343,807.44
  5. Step 5: Solve for x
    x = 343,807.44/616.56
  6. Step 6: Final answer
    x = 557.62

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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.