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Finding the Fourth Proportional to 985.82, 1,359.96 and 631.54

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Solution

The fourth proportional to 985.82, 1,359.96 and 631.54 is: 871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.82 : 1,359.96 = 631.54 : x
  2. Step 2: Convert to fraction form
    985.82/1,359.96 = 631.54/x
  3. Step 3: Cross multiply
    985.82x = 1,359.96 × 631.54
  4. Step 4: Simplify right side
    985.82x = 858,869.14
  5. Step 5: Solve for x
    x = 858,869.14/985.82
  6. Step 6: Final answer
    x = 871.22

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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.