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Finding the Fourth Proportional to 432.38, 652.10 and 417.80

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Solution

The fourth proportional to 432.38, 652.10 and 417.80 is: 630.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.38 : 652.10 = 417.80 : x
  2. Step 2: Convert to fraction form
    432.38/652.10 = 417.80/x
  3. Step 3: Cross multiply
    432.38x = 652.10 × 417.80
  4. Step 4: Simplify right side
    432.38x = 272,447.38
  5. Step 5: Solve for x
    x = 272,447.38/432.38
  6. Step 6: Final answer
    x = 630.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.