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Finding the Fourth Proportional to 874.15, 1,308.90 and 701.17

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Solution

The fourth proportional to 874.15, 1,308.90 and 701.17 is: 1,049.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.15 : 1,308.90 = 701.17 : x
  2. Step 2: Convert to fraction form
    874.15/1,308.90 = 701.17/x
  3. Step 3: Cross multiply
    874.15x = 1,308.90 × 701.17
  4. Step 4: Simplify right side
    874.15x = 917,761.41
  5. Step 5: Solve for x
    x = 917,761.41/874.15
  6. Step 6: Final answer
    x = 1,049.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.