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Finding the Fourth Proportional to 712.53, 1,063.67 and 660.42

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Solution

The fourth proportional to 712.53, 1,063.67 and 660.42 is: 985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.53 : 1,063.67 = 660.42 : x
  2. Step 2: Convert to fraction form
    712.53/1,063.67 = 660.42/x
  3. Step 3: Cross multiply
    712.53x = 1,063.67 × 660.42
  4. Step 4: Simplify right side
    712.53x = 702,465.64
  5. Step 5: Solve for x
    x = 702,465.64/712.53
  6. Step 6: Final answer
    x = 985.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.