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Finding the Fourth Proportional to 723.38, 998.28 and 412.88

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Solution

The fourth proportional to 723.38, 998.28 and 412.88 is: 569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.38 : 998.28 = 412.88 : x
  2. Step 2: Convert to fraction form
    723.38/998.28 = 412.88/x
  3. Step 3: Cross multiply
    723.38x = 998.28 × 412.88
  4. Step 4: Simplify right side
    723.38x = 412,164.86
  5. Step 5: Solve for x
    x = 412,164.86/723.38
  6. Step 6: Final answer
    x = 569.78

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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.