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Finding the Fourth Proportional to 723.42, 998.37 and 412.92

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Solution

The fourth proportional to 723.42, 998.37 and 412.92 is: 569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.42 : 998.37 = 412.92 : x
  2. Step 2: Convert to fraction form
    723.42/998.37 = 412.92/x
  3. Step 3: Cross multiply
    723.42x = 998.37 × 412.92
  4. Step 4: Simplify right side
    723.42x = 412,246.94
  5. Step 5: Solve for x
    x = 412,246.94/723.42
  6. Step 6: Final answer
    x = 569.86

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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.