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Finding the Fourth Proportional to 1,374.82, 2,062.80 and 758.47

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Solution

The fourth proportional to 1,374.82, 2,062.80 and 758.47 is: 1,138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.82 : 2,062.80 = 758.47 : x
  2. Step 2: Convert to fraction form
    1,374.82/2,062.80 = 758.47/x
  3. Step 3: Cross multiply
    1,374.82x = 2,062.80 × 758.47
  4. Step 4: Simplify right side
    1,374.82x = 1,564,571.92
  5. Step 5: Solve for x
    x = 1,564,571.92/1,374.82
  6. Step 6: Final answer
    x = 1,138.02

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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.