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Finding the Fourth Proportional to 702.17, 1,052.49 and 269.23

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Solution

The fourth proportional to 702.17, 1,052.49 and 269.23 is: 403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.17 : 1,052.49 = 269.23 : x
  2. Step 2: Convert to fraction form
    702.17/1,052.49 = 269.23/x
  3. Step 3: Cross multiply
    702.17x = 1,052.49 × 269.23
  4. Step 4: Simplify right side
    702.17x = 283,361.88
  5. Step 5: Solve for x
    x = 283,361.88/702.17
  6. Step 6: Final answer
    x = 403.55

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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.