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Finding the Fourth Proportional to 631.47, 871.32 and 351.70

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Solution

The fourth proportional to 631.47, 871.32 and 351.70 is: 485.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.47 : 871.32 = 351.70 : x
  2. Step 2: Convert to fraction form
    631.47/871.32 = 351.70/x
  3. Step 3: Cross multiply
    631.47x = 871.32 × 351.70
  4. Step 4: Simplify right side
    631.47x = 306,438.89
  5. Step 5: Solve for x
    x = 306,438.89/631.47
  6. Step 6: Final answer
    x = 485.28

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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.