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Finding the Fourth Proportional to 721.72, 996.10 and 525.80

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Solution

The fourth proportional to 721.72, 996.10 and 525.80 is: 725.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.72 : 996.10 = 525.80 : x
  2. Step 2: Convert to fraction form
    721.72/996.10 = 525.80/x
  3. Step 3: Cross multiply
    721.72x = 996.10 × 525.80
  4. Step 4: Simplify right side
    721.72x = 523,749.38
  5. Step 5: Solve for x
    x = 523,749.38/721.72
  6. Step 6: Final answer
    x = 725.70

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Half scale
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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.