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Finding the Fourth Proportional to 701.95, 1,052.84 and 239.78

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Solution

The fourth proportional to 701.95, 1,052.84 and 239.78 is: 359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.95 : 1,052.84 = 239.78 : x
  2. Step 2: Convert to fraction form
    701.95/1,052.84 = 239.78/x
  3. Step 3: Cross multiply
    701.95x = 1,052.84 × 239.78
  4. Step 4: Simplify right side
    701.95x = 252,446.61
  5. Step 5: Solve for x
    x = 252,446.61/701.95
  6. Step 6: Final answer
    x = 359.64

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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.