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Finding the Fourth Proportional to 1,129.74, 1,559.97 and 781.44

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Solution

The fourth proportional to 1,129.74, 1,559.97 and 781.44 is: 1,079.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.74 : 1,559.97 = 781.44 : x
  2. Step 2: Convert to fraction form
    1,129.74/1,559.97 = 781.44/x
  3. Step 3: Cross multiply
    1,129.74x = 1,559.97 × 781.44
  4. Step 4: Simplify right side
    1,129.74x = 1,219,022.96
  5. Step 5: Solve for x
    x = 1,219,022.96/1,129.74
  6. Step 6: Final answer
    x = 1,079.03

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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.