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Finding the Fourth Proportional to 693.57, 1,039.97 and 231.23

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Solution

The fourth proportional to 693.57, 1,039.97 and 231.23 is: 346.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.57 : 1,039.97 = 231.23 : x
  2. Step 2: Convert to fraction form
    693.57/1,039.97 = 231.23/x
  3. Step 3: Cross multiply
    693.57x = 1,039.97 × 231.23
  4. Step 4: Simplify right side
    693.57x = 240,472.26
  5. Step 5: Solve for x
    x = 240,472.26/693.57
  6. Step 6: Final answer
    x = 346.72

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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.