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Finding the Fourth Proportional to 1,073.65, 1,481.18 and 631.37

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Solution

The fourth proportional to 1,073.65, 1,481.18 and 631.37 is: 871.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.65 : 1,481.18 = 631.37 : x
  2. Step 2: Convert to fraction form
    1,073.65/1,481.18 = 631.37/x
  3. Step 3: Cross multiply
    1,073.65x = 1,481.18 × 631.37
  4. Step 4: Simplify right side
    1,073.65x = 935,172.62
  5. Step 5: Solve for x
    x = 935,172.62/1,073.65
  6. Step 6: Final answer
    x = 871.02

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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.