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Finding the Fourth Proportional to 693.32, 1,040.19 and 282.23

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Solution

The fourth proportional to 693.32, 1,040.19 and 282.23 is: 423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.32 : 1,040.19 = 282.23 : x
  2. Step 2: Convert to fraction form
    693.32/1,040.19 = 282.23/x
  3. Step 3: Cross multiply
    693.32x = 1,040.19 × 282.23
  4. Step 4: Simplify right side
    693.32x = 293,572.82
  5. Step 5: Solve for x
    x = 293,572.82/693.32
  6. Step 6: Final answer
    x = 423.43

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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.