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Finding the Fourth Proportional to 702.98, 969.20 and 481.54

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Solution

The fourth proportional to 702.98, 969.20 and 481.54 is: 663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.98 : 969.20 = 481.54 : x
  2. Step 2: Convert to fraction form
    702.98/969.20 = 481.54/x
  3. Step 3: Cross multiply
    702.98x = 969.20 × 481.54
  4. Step 4: Simplify right side
    702.98x = 466,704.93
  5. Step 5: Solve for x
    x = 466,704.93/702.98
  6. Step 6: Final answer
    x = 663.90

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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.