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Finding the Fourth Proportional to 630.97, 871.39 and 434.75

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Solution

The fourth proportional to 630.97, 871.39 and 434.75 is: 600.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.97 : 871.39 = 434.75 : x
  2. Step 2: Convert to fraction form
    630.97/871.39 = 434.75/x
  3. Step 3: Cross multiply
    630.97x = 871.39 × 434.75
  4. Step 4: Simplify right side
    630.97x = 378,836.80
  5. Step 5: Solve for x
    x = 378,836.80/630.97
  6. Step 6: Final answer
    x = 600.40

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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.