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Finding the Fourth Proportional to 631.02, 871.04 and 398.10

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Solution

The fourth proportional to 631.02, 871.04 and 398.10 is: 549.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.02 : 871.04 = 398.10 : x
  2. Step 2: Convert to fraction form
    631.02/871.04 = 398.10/x
  3. Step 3: Cross multiply
    631.02x = 871.04 × 398.10
  4. Step 4: Simplify right side
    631.02x = 346,761.02
  5. Step 5: Solve for x
    x = 346,761.02/631.02
  6. Step 6: Final answer
    x = 549.52

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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.