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Finding the Fourth Proportional to 1,306.82, 1,961.31 and 537.86

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Solution

The fourth proportional to 1,306.82, 1,961.31 and 537.86 is: 807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.82 : 1,961.31 = 537.86 : x
  2. Step 2: Convert to fraction form
    1,306.82/1,961.31 = 537.86/x
  3. Step 3: Cross multiply
    1,306.82x = 1,961.31 × 537.86
  4. Step 4: Simplify right side
    1,306.82x = 1,054,910.20
  5. Step 5: Solve for x
    x = 1,054,910.20/1,306.82
  6. Step 6: Final answer
    x = 807.23

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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.