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Finding the Fourth Proportional to 1,147.38, 1,719.84 and 781.26

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Solution

The fourth proportional to 1,147.38, 1,719.84 and 781.26 is: 1,171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.38 : 1,719.84 = 781.26 : x
  2. Step 2: Convert to fraction form
    1,147.38/1,719.84 = 781.26/x
  3. Step 3: Cross multiply
    1,147.38x = 1,719.84 × 781.26
  4. Step 4: Simplify right side
    1,147.38x = 1,343,642.20
  5. Step 5: Solve for x
    x = 1,343,642.20/1,147.38
  6. Step 6: Final answer
    x = 1,171.05

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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.