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Finding the Fourth Proportional to 1,291.20, 1,781.54 and 760.11

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Solution

The fourth proportional to 1,291.20, 1,781.54 and 760.11 is: 1,048.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.20 : 1,781.54 = 760.11 : x
  2. Step 2: Convert to fraction form
    1,291.20/1,781.54 = 760.11/x
  3. Step 3: Cross multiply
    1,291.20x = 1,781.54 × 760.11
  4. Step 4: Simplify right side
    1,291.20x = 1,354,168.02
  5. Step 5: Solve for x
    x = 1,354,168.02/1,291.20
  6. Step 6: Final answer
    x = 1,048.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.