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Finding the Fourth Proportional to 1,311.04, 1,961.70 and 763.48

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Solution

The fourth proportional to 1,311.04, 1,961.70 and 763.48 is: 1,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.04 : 1,961.70 = 763.48 : x
  2. Step 2: Convert to fraction form
    1,311.04/1,961.70 = 763.48/x
  3. Step 3: Cross multiply
    1,311.04x = 1,961.70 × 763.48
  4. Step 4: Simplify right side
    1,311.04x = 1,497,718.72
  5. Step 5: Solve for x
    x = 1,497,718.72/1,311.04
  6. Step 6: Final answer
    x = 1,142.39

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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.