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Finding the Fourth Proportional to 631.22, 951.50 and 523.70

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Solution

The fourth proportional to 631.22, 951.50 and 523.70 is: 789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.22 : 951.50 = 523.70 : x
  2. Step 2: Convert to fraction form
    631.22/951.50 = 523.70/x
  3. Step 3: Cross multiply
    631.22x = 951.50 × 523.70
  4. Step 4: Simplify right side
    631.22x = 498,293.17
  5. Step 5: Solve for x
    x = 498,293.17/631.22
  6. Step 6: Final answer
    x = 789.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.