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Finding the Fourth Proportional to 694.92, 1,042.78 and 451.56

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Solution

The fourth proportional to 694.92, 1,042.78 and 451.56 is: 677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.92 : 1,042.78 = 451.56 : x
  2. Step 2: Convert to fraction form
    694.92/1,042.78 = 451.56/x
  3. Step 3: Cross multiply
    694.92x = 1,042.78 × 451.56
  4. Step 4: Simplify right side
    694.92x = 470,877.74
  5. Step 5: Solve for x
    x = 470,877.74/694.92
  6. Step 6: Final answer
    x = 677.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.