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Finding the Fourth Proportional to 461.20, 632.56 and 437.76

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Solution

The fourth proportional to 461.20, 632.56 and 437.76 is: 600.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.20 : 632.56 = 437.76 : x
  2. Step 2: Convert to fraction form
    461.20/632.56 = 437.76/x
  3. Step 3: Cross multiply
    461.20x = 632.56 × 437.76
  4. Step 4: Simplify right side
    461.20x = 276,909.47
  5. Step 5: Solve for x
    x = 276,909.47/461.20
  6. Step 6: Final answer
    x = 600.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.