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Finding the Fourth Proportional to 432.97, 649.45 and 417.59

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Solution

The fourth proportional to 432.97, 649.45 and 417.59 is: 626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.97 : 649.45 = 417.59 : x
  2. Step 2: Convert to fraction form
    432.97/649.45 = 417.59/x
  3. Step 3: Cross multiply
    432.97x = 649.45 × 417.59
  4. Step 4: Simplify right side
    432.97x = 271,201.74
  5. Step 5: Solve for x
    x = 271,201.74/432.97
  6. Step 6: Final answer
    x = 626.38

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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.