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Finding the Fourth Proportional to 461.62, 637.29 and 314.47

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Solution

The fourth proportional to 461.62, 637.29 and 314.47 is: 434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.62 : 637.29 = 314.47 : x
  2. Step 2: Convert to fraction form
    461.62/637.29 = 314.47/x
  3. Step 3: Cross multiply
    461.62x = 637.29 × 314.47
  4. Step 4: Simplify right side
    461.62x = 200,403.83
  5. Step 5: Solve for x
    x = 200,403.83/461.62
  6. Step 6: Final answer
    x = 434.14

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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.