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Finding the Fourth Proportional to 701.98, 1,053.11 and 263.20

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Solution

The fourth proportional to 701.98, 1,053.11 and 263.20 is: 394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.98 : 1,053.11 = 263.20 : x
  2. Step 2: Convert to fraction form
    701.98/1,053.11 = 263.20/x
  3. Step 3: Cross multiply
    701.98x = 1,053.11 × 263.20
  4. Step 4: Simplify right side
    701.98x = 277,178.55
  5. Step 5: Solve for x
    x = 277,178.55/701.98
  6. Step 6: Final answer
    x = 394.85

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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.