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Finding the Fourth Proportional to 487.54, 730.06 and 410.32

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Solution

The fourth proportional to 487.54, 730.06 and 410.32 is: 614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.54 : 730.06 = 410.32 : x
  2. Step 2: Convert to fraction form
    487.54/730.06 = 410.32/x
  3. Step 3: Cross multiply
    487.54x = 730.06 × 410.32
  4. Step 4: Simplify right side
    487.54x = 299,558.22
  5. Step 5: Solve for x
    x = 299,558.22/487.54
  6. Step 6: Final answer
    x = 614.43

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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.