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Finding the Fourth Proportional to 617.28, 921.36 and 545.16

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Solution

The fourth proportional to 617.28, 921.36 and 545.16 is: 813.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.28 : 921.36 = 545.16 : x
  2. Step 2: Convert to fraction form
    617.28/921.36 = 545.16/x
  3. Step 3: Cross multiply
    617.28x = 921.36 × 545.16
  4. Step 4: Simplify right side
    617.28x = 502,288.62
  5. Step 5: Solve for x
    x = 502,288.62/617.28
  6. Step 6: Final answer
    x = 813.71

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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.