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Finding the Fourth Proportional to 694.62, 1,034.68 and 663.03

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Solution

The fourth proportional to 694.62, 1,034.68 and 663.03 is: 987.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.62 : 1,034.68 = 663.03 : x
  2. Step 2: Convert to fraction form
    694.62/1,034.68 = 663.03/x
  3. Step 3: Cross multiply
    694.62x = 1,034.68 × 663.03
  4. Step 4: Simplify right side
    694.62x = 686,022.22
  5. Step 5: Solve for x
    x = 686,022.22/694.62
  6. Step 6: Final answer
    x = 987.62

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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.