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Finding the Fourth Proportional to 693.52, 1,040.28 and 282.39

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Solution

The fourth proportional to 693.52, 1,040.28 and 282.39 is: 423.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.52 : 1,040.28 = 282.39 : x
  2. Step 2: Convert to fraction form
    693.52/1,040.28 = 282.39/x
  3. Step 3: Cross multiply
    693.52x = 1,040.28 × 282.39
  4. Step 4: Simplify right side
    693.52x = 293,764.67
  5. Step 5: Solve for x
    x = 293,764.67/693.52
  6. Step 6: Final answer
    x = 423.59

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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.