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Finding the Fourth Proportional to 702.49, 968.89 and 537.25

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Solution

The fourth proportional to 702.49, 968.89 and 537.25 is: 740.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.49 : 968.89 = 537.25 : x
  2. Step 2: Convert to fraction form
    702.49/968.89 = 537.25/x
  3. Step 3: Cross multiply
    702.49x = 968.89 × 537.25
  4. Step 4: Simplify right side
    702.49x = 520,531.31
  5. Step 5: Solve for x
    x = 520,531.31/702.49
  6. Step 6: Final answer
    x = 740.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.