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Finding the Fourth Proportional to 721.89, 996.15 and 411.39

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Solution

The fourth proportional to 721.89, 996.15 and 411.39 is: 567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.89 : 996.15 = 411.39 : x
  2. Step 2: Convert to fraction form
    721.89/996.15 = 411.39/x
  3. Step 3: Cross multiply
    721.89x = 996.15 × 411.39
  4. Step 4: Simplify right side
    721.89x = 409,806.15
  5. Step 5: Solve for x
    x = 409,806.15/721.89
  6. Step 6: Final answer
    x = 567.69

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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.