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Finding the Fourth Proportional to 742.20, 1,113.30 and 702.60

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Solution

The fourth proportional to 742.20, 1,113.30 and 702.60 is: 1,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.20 : 1,113.30 = 702.60 : x
  2. Step 2: Convert to fraction form
    742.20/1,113.30 = 702.60/x
  3. Step 3: Cross multiply
    742.20x = 1,113.30 × 702.60
  4. Step 4: Simplify right side
    742.20x = 782,204.58
  5. Step 5: Solve for x
    x = 782,204.58/742.20
  6. Step 6: Final answer
    x = 1,053.90

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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.