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Finding the Fourth Proportional to 694.87, 1,044.53 and 559.42

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Solution

The fourth proportional to 694.87, 1,044.53 and 559.42 is: 840.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.87 : 1,044.53 = 559.42 : x
  2. Step 2: Convert to fraction form
    694.87/1,044.53 = 559.42/x
  3. Step 3: Cross multiply
    694.87x = 1,044.53 × 559.42
  4. Step 4: Simplify right side
    694.87x = 584,330.97
  5. Step 5: Solve for x
    x = 584,330.97/694.87
  6. Step 6: Final answer
    x = 840.92

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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.