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Finding the Fourth Proportional to 876.40, 1,314.24 and 702.52

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Solution

The fourth proportional to 876.40, 1,314.24 and 702.52 is: 1,053.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.40 : 1,314.24 = 702.52 : x
  2. Step 2: Convert to fraction form
    876.40/1,314.24 = 702.52/x
  3. Step 3: Cross multiply
    876.40x = 1,314.24 × 702.52
  4. Step 4: Simplify right side
    876.40x = 923,279.88
  5. Step 5: Solve for x
    x = 923,279.88/876.40
  6. Step 6: Final answer
    x = 1,053.49

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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.