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Finding the Fourth Proportional to 461.36, 634.92 and 429.68

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Solution

The fourth proportional to 461.36, 634.92 and 429.68 is: 591.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.36 : 634.92 = 429.68 : x
  2. Step 2: Convert to fraction form
    461.36/634.92 = 429.68/x
  3. Step 3: Cross multiply
    461.36x = 634.92 × 429.68
  4. Step 4: Simplify right side
    461.36x = 272,812.43
  5. Step 5: Solve for x
    x = 272,812.43/461.36
  6. Step 6: Final answer
    x = 591.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.