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Finding the Fourth Proportional to 631.34, 871.24 and 410.66

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Solution

The fourth proportional to 631.34, 871.24 and 410.66 is: 566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.34 : 871.24 = 410.66 : x
  2. Step 2: Convert to fraction form
    631.34/871.24 = 410.66/x
  3. Step 3: Cross multiply
    631.34x = 871.24 × 410.66
  4. Step 4: Simplify right side
    631.34x = 357,786.26
  5. Step 5: Solve for x
    x = 357,786.26/631.34
  6. Step 6: Final answer
    x = 566.71

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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.