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Finding the Fourth Proportional to 631.31, 871.06 and 410.24

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Solution

The fourth proportional to 631.31, 871.06 and 410.24 is: 566.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.31 : 871.06 = 410.24 : x
  2. Step 2: Convert to fraction form
    631.31/871.06 = 410.24/x
  3. Step 3: Cross multiply
    631.31x = 871.06 × 410.24
  4. Step 4: Simplify right side
    631.31x = 357,343.65
  5. Step 5: Solve for x
    x = 357,343.65/631.31
  6. Step 6: Final answer
    x = 566.04

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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.