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Finding the Fourth Proportional to 617.27, 925.04 and 409.28

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Solution

The fourth proportional to 617.27, 925.04 and 409.28 is: 613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.27 : 925.04 = 409.28 : x
  2. Step 2: Convert to fraction form
    617.27/925.04 = 409.28/x
  3. Step 3: Cross multiply
    617.27x = 925.04 × 409.28
  4. Step 4: Simplify right side
    617.27x = 378,600.37
  5. Step 5: Solve for x
    x = 378,600.37/617.27
  6. Step 6: Final answer
    x = 613.35

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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.