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Finding the Fourth Proportional to 631.45, 871.42 and 382.72

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Solution

The fourth proportional to 631.45, 871.42 and 382.72 is: 528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.45 : 871.42 = 382.72 : x
  2. Step 2: Convert to fraction form
    631.45/871.42 = 382.72/x
  3. Step 3: Cross multiply
    631.45x = 871.42 × 382.72
  4. Step 4: Simplify right side
    631.45x = 333,509.86
  5. Step 5: Solve for x
    x = 333,509.86/631.45
  6. Step 6: Final answer
    x = 528.17

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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.