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Finding the Fourth Proportional to 701.78, 1,053.03 and 311.87

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Solution

The fourth proportional to 701.78, 1,053.03 and 311.87 is: 467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.78 : 1,053.03 = 311.87 : x
  2. Step 2: Convert to fraction form
    701.78/1,053.03 = 311.87/x
  3. Step 3: Cross multiply
    701.78x = 1,053.03 × 311.87
  4. Step 4: Simplify right side
    701.78x = 328,408.47
  5. Step 5: Solve for x
    x = 328,408.47/701.78
  6. Step 6: Final answer
    x = 467.96

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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.