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Finding the Fourth Proportional to 875.43, 1,207.16 and 676.29

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Solution

The fourth proportional to 875.43, 1,207.16 and 676.29 is: 932.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.43 : 1,207.16 = 676.29 : x
  2. Step 2: Convert to fraction form
    875.43/1,207.16 = 676.29/x
  3. Step 3: Cross multiply
    875.43x = 1,207.16 × 676.29
  4. Step 4: Simplify right side
    875.43x = 816,385.53
  5. Step 5: Solve for x
    x = 816,385.53/875.43
  6. Step 6: Final answer
    x = 932.56

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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.