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Finding the Fourth Proportional to 631.68, 871.62 and 366.17

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Solution

The fourth proportional to 631.68, 871.62 and 366.17 is: 505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.68 : 871.62 = 366.17 : x
  2. Step 2: Convert to fraction form
    631.68/871.62 = 366.17/x
  3. Step 3: Cross multiply
    631.68x = 871.62 × 366.17
  4. Step 4: Simplify right side
    631.68x = 319,156.85
  5. Step 5: Solve for x
    x = 319,156.85/631.68
  6. Step 6: Final answer
    x = 505.25

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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.