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Finding the Fourth Proportional to 1,311.80, 1,967.76 and 763.70

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Solution

The fourth proportional to 1,311.80, 1,967.76 and 763.70 is: 1,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.80 : 1,967.76 = 763.70 : x
  2. Step 2: Convert to fraction form
    1,311.80/1,967.76 = 763.70/x
  3. Step 3: Cross multiply
    1,311.80x = 1,967.76 × 763.70
  4. Step 4: Simplify right side
    1,311.80x = 1,502,768.47
  5. Step 5: Solve for x
    x = 1,502,768.47/1,311.80
  6. Step 6: Final answer
    x = 1,145.58

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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.