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Finding the Fourth Proportional to 693.42, 1,039.84 and 224.78

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Solution

The fourth proportional to 693.42, 1,039.84 and 224.78 is: 337.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.42 : 1,039.84 = 224.78 : x
  2. Step 2: Convert to fraction form
    693.42/1,039.84 = 224.78/x
  3. Step 3: Cross multiply
    693.42x = 1,039.84 × 224.78
  4. Step 4: Simplify right side
    693.42x = 233,735.24
  5. Step 5: Solve for x
    x = 233,735.24/693.42
  6. Step 6: Final answer
    x = 337.08

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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.