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Finding the Fourth Proportional to 721.92, 996.12 and 407.19

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Solution

The fourth proportional to 721.92, 996.12 and 407.19 is: 561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.92 : 996.12 = 407.19 : x
  2. Step 2: Convert to fraction form
    721.92/996.12 = 407.19/x
  3. Step 3: Cross multiply
    721.92x = 996.12 × 407.19
  4. Step 4: Simplify right side
    721.92x = 405,610.10
  5. Step 5: Solve for x
    x = 405,610.10/721.92
  6. Step 6: Final answer
    x = 561.85

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Half scale
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Double scale
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Similar ratio
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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.