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Finding the Fourth Proportional to 631.52, 948.31 and 475.37

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Solution

The fourth proportional to 631.52, 948.31 and 475.37 is: 713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.52 : 948.31 = 475.37 : x
  2. Step 2: Convert to fraction form
    631.52/948.31 = 475.37/x
  3. Step 3: Cross multiply
    631.52x = 948.31 × 475.37
  4. Step 4: Simplify right side
    631.52x = 450,795.75
  5. Step 5: Solve for x
    x = 450,795.75/631.52
  6. Step 6: Final answer
    x = 713.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.