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Finding the Fourth Proportional to 1,591.08, 2,387.14 and 769.45

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Solution

The fourth proportional to 1,591.08, 2,387.14 and 769.45 is: 1,154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.08 : 2,387.14 = 769.45 : x
  2. Step 2: Convert to fraction form
    1,591.08/2,387.14 = 769.45/x
  3. Step 3: Cross multiply
    1,591.08x = 2,387.14 × 769.45
  4. Step 4: Simplify right side
    1,591.08x = 1,836,784.87
  5. Step 5: Solve for x
    x = 1,836,784.87/1,591.08
  6. Step 6: Final answer
    x = 1,154.43

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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.