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Finding the Fourth Proportional to 631.32, 871.05 and 442.26

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Solution

The fourth proportional to 631.32, 871.05 and 442.26 is: 610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.32 : 871.05 = 442.26 : x
  2. Step 2: Convert to fraction form
    631.32/871.05 = 442.26/x
  3. Step 3: Cross multiply
    631.32x = 871.05 × 442.26
  4. Step 4: Simplify right side
    631.32x = 385,230.57
  5. Step 5: Solve for x
    x = 385,230.57/631.32
  6. Step 6: Final answer
    x = 610.20

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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.