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Finding the Fourth Proportional to 702.25, 1,053.38 and 269.42

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Solution

The fourth proportional to 702.25, 1,053.38 and 269.42 is: 404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.25 : 1,053.38 = 269.42 : x
  2. Step 2: Convert to fraction form
    702.25/1,053.38 = 269.42/x
  3. Step 3: Cross multiply
    702.25x = 1,053.38 × 269.42
  4. Step 4: Simplify right side
    702.25x = 283,801.64
  5. Step 5: Solve for x
    x = 283,801.64/702.25
  6. Step 6: Final answer
    x = 404.13

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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.