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Finding the Fourth Proportional to 1,147.43, 1,720.42 and 781.10

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Solution

The fourth proportional to 1,147.43, 1,720.42 and 781.10 is: 1,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.43 : 1,720.42 = 781.10 : x
  2. Step 2: Convert to fraction form
    1,147.43/1,720.42 = 781.10/x
  3. Step 3: Cross multiply
    1,147.43x = 1,720.42 × 781.10
  4. Step 4: Simplify right side
    1,147.43x = 1,343,820.06
  5. Step 5: Solve for x
    x = 1,343,820.06/1,147.43
  6. Step 6: Final answer
    x = 1,171.16

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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.