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Finding the Fourth Proportional to 702.52, 968.96 and 481.09

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Solution

The fourth proportional to 702.52, 968.96 and 481.09 is: 663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.52 : 968.96 = 481.09 : x
  2. Step 2: Convert to fraction form
    702.52/968.96 = 481.09/x
  3. Step 3: Cross multiply
    702.52x = 968.96 × 481.09
  4. Step 4: Simplify right side
    702.52x = 466,157.56
  5. Step 5: Solve for x
    x = 466,157.56/702.52
  6. Step 6: Final answer
    x = 663.55

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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.