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Finding the Fourth Proportional to 701.48, 1,052.14 and 311.49

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Solution

The fourth proportional to 701.48, 1,052.14 and 311.49 is: 467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.48 : 1,052.14 = 311.49 : x
  2. Step 2: Convert to fraction form
    701.48/1,052.14 = 311.49/x
  3. Step 3: Cross multiply
    701.48x = 1,052.14 × 311.49
  4. Step 4: Simplify right side
    701.48x = 327,731.09
  5. Step 5: Solve for x
    x = 327,731.09/701.48
  6. Step 6: Final answer
    x = 467.20

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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.