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Finding the Fourth Proportional to 487.32, 729.91 and 410.44

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Solution

The fourth proportional to 487.32, 729.91 and 410.44 is: 614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.32 : 729.91 = 410.44 : x
  2. Step 2: Convert to fraction form
    487.32/729.91 = 410.44/x
  3. Step 3: Cross multiply
    487.32x = 729.91 × 410.44
  4. Step 4: Simplify right side
    487.32x = 299,584.26
  5. Step 5: Solve for x
    x = 299,584.26/487.32
  6. Step 6: Final answer
    x = 614.76

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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.