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Finding the Fourth Proportional to 631.32, 871.20 and 421.26

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Solution

The fourth proportional to 631.32, 871.20 and 421.26 is: 581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.32 : 871.20 = 421.26 : x
  2. Step 2: Convert to fraction form
    631.32/871.20 = 421.26/x
  3. Step 3: Cross multiply
    631.32x = 871.20 × 421.26
  4. Step 4: Simplify right side
    631.32x = 367,001.71
  5. Step 5: Solve for x
    x = 367,001.71/631.32
  6. Step 6: Final answer
    x = 581.32

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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.