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Finding the Fourth Proportional to 701.87, 1,052.86 and 311.69

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Solution

The fourth proportional to 701.87, 1,052.86 and 311.69 is: 467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.87 : 1,052.86 = 311.69 : x
  2. Step 2: Convert to fraction form
    701.87/1,052.86 = 311.69/x
  3. Step 3: Cross multiply
    701.87x = 1,052.86 × 311.69
  4. Step 4: Simplify right side
    701.87x = 328,167.79
  5. Step 5: Solve for x
    x = 328,167.79/701.87
  6. Step 6: Final answer
    x = 467.56

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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.