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Finding the Fourth Proportional to 701.59, 1,052.79 and 311.56

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Solution

The fourth proportional to 701.59, 1,052.79 and 311.56 is: 467.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.59 : 1,052.79 = 311.56 : x
  2. Step 2: Convert to fraction form
    701.59/1,052.79 = 311.56/x
  3. Step 3: Cross multiply
    701.59x = 1,052.79 × 311.56
  4. Step 4: Simplify right side
    701.59x = 328,007.25
  5. Step 5: Solve for x
    x = 328,007.25/701.59
  6. Step 6: Final answer
    x = 467.52

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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.