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Finding the Fourth Proportional to 781.13, 1,171.30 and 260.95

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Solution

The fourth proportional to 781.13, 1,171.30 and 260.95 is: 391.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.13 : 1,171.30 = 260.95 : x
  2. Step 2: Convert to fraction form
    781.13/1,171.30 = 260.95/x
  3. Step 3: Cross multiply
    781.13x = 1,171.30 × 260.95
  4. Step 4: Simplify right side
    781.13x = 305,646.55
  5. Step 5: Solve for x
    x = 305,646.55/781.13
  6. Step 6: Final answer
    x = 391.29

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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.