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Finding the Fourth Proportional to 742.22, 1,118.97 and 702.53

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Solution

The fourth proportional to 742.22, 1,118.97 and 702.53 is: 1,059.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.22 : 1,118.97 = 702.53 : x
  2. Step 2: Convert to fraction form
    742.22/1,118.97 = 702.53/x
  3. Step 3: Cross multiply
    742.22x = 1,118.97 × 702.53
  4. Step 4: Simplify right side
    742.22x = 786,106.48
  5. Step 5: Solve for x
    x = 786,106.48/742.22
  6. Step 6: Final answer
    x = 1,059.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.