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Finding the Fourth Proportional to 780.20, 1,169.82 and 267.24

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Solution

The fourth proportional to 780.20, 1,169.82 and 267.24 is: 400.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.20 : 1,169.82 = 267.24 : x
  2. Step 2: Convert to fraction form
    780.20/1,169.82 = 267.24/x
  3. Step 3: Cross multiply
    780.20x = 1,169.82 × 267.24
  4. Step 4: Simplify right side
    780.20x = 312,622.70
  5. Step 5: Solve for x
    x = 312,622.70/780.20
  6. Step 6: Final answer
    x = 400.70

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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.