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Finding the Fourth Proportional to 1,344.62, 2,017.56 and 797.88

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Solution

The fourth proportional to 1,344.62, 2,017.56 and 797.88 is: 1,197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.62 : 2,017.56 = 797.88 : x
  2. Step 2: Convert to fraction form
    1,344.62/2,017.56 = 797.88/x
  3. Step 3: Cross multiply
    1,344.62x = 2,017.56 × 797.88
  4. Step 4: Simplify right side
    1,344.62x = 1,609,770.77
  5. Step 5: Solve for x
    x = 1,609,770.77/1,344.62
  6. Step 6: Final answer
    x = 1,197.19

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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.