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Finding the Fourth Proportional to 702.68, 971.21 and 527.72

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Solution

The fourth proportional to 702.68, 971.21 and 527.72 is: 729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.68 : 971.21 = 527.72 : x
  2. Step 2: Convert to fraction form
    702.68/971.21 = 527.72/x
  3. Step 3: Cross multiply
    702.68x = 971.21 × 527.72
  4. Step 4: Simplify right side
    702.68x = 512,524.30
  5. Step 5: Solve for x
    x = 512,524.30/702.68
  6. Step 6: Final answer
    x = 729.39

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Double scale
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1.5x scale

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.