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Finding the Fourth Proportional to 617.56, 921.98 and 560.16

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Solution

The fourth proportional to 617.56, 921.98 and 560.16 is: 836.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.56 : 921.98 = 560.16 : x
  2. Step 2: Convert to fraction form
    617.56/921.98 = 560.16/x
  3. Step 3: Cross multiply
    617.56x = 921.98 × 560.16
  4. Step 4: Simplify right side
    617.56x = 516,456.32
  5. Step 5: Solve for x
    x = 516,456.32/617.56
  6. Step 6: Final answer
    x = 836.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.