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Finding the Fourth Proportional to 1,348.31, 2,023.11 and 771.19

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Solution

The fourth proportional to 1,348.31, 2,023.11 and 771.19 is: 1,157.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.31 : 2,023.11 = 771.19 : x
  2. Step 2: Convert to fraction form
    1,348.31/2,023.11 = 771.19/x
  3. Step 3: Cross multiply
    1,348.31x = 2,023.11 × 771.19
  4. Step 4: Simplify right side
    1,348.31x = 1,560,197.14
  5. Step 5: Solve for x
    x = 1,560,197.14/1,348.31
  6. Step 6: Final answer
    x = 1,157.15

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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.