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Finding the Fourth Proportional to 694.50, 1,032.38 and 673.77

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Solution

The fourth proportional to 694.50, 1,032.38 and 673.77 is: 1,001.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.50 : 1,032.38 = 673.77 : x
  2. Step 2: Convert to fraction form
    694.50/1,032.38 = 673.77/x
  3. Step 3: Cross multiply
    694.50x = 1,032.38 × 673.77
  4. Step 4: Simplify right side
    694.50x = 695,589.70
  5. Step 5: Solve for x
    x = 695,589.70/694.50
  6. Step 6: Final answer
    x = 1,001.56

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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.