Home / 1,191.28-1,787.46-614.56

Finding the Fourth Proportional to 1,191.28, 1,787.46 and 614.56

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Solution

The fourth proportional to 1,191.28, 1,787.46 and 614.56 is: 922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.28 : 1,787.46 = 614.56 : x
  2. Step 2: Convert to fraction form
    1,191.28/1,787.46 = 614.56/x
  3. Step 3: Cross multiply
    1,191.28x = 1,787.46 × 614.56
  4. Step 4: Simplify right side
    1,191.28x = 1,098,501.42
  5. Step 5: Solve for x
    x = 1,098,501.42/1,191.28
  6. Step 6: Final answer
    x = 922.12

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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.