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Finding the Fourth Proportional to 1,366.79, 2,049.53 and 392.63

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Solution

The fourth proportional to 1,366.79, 2,049.53 and 392.63 is: 588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.79 : 2,049.53 = 392.63 : x
  2. Step 2: Convert to fraction form
    1,366.79/2,049.53 = 392.63/x
  3. Step 3: Cross multiply
    1,366.79x = 2,049.53 × 392.63
  4. Step 4: Simplify right side
    1,366.79x = 804,694.75
  5. Step 5: Solve for x
    x = 804,694.75/1,366.79
  6. Step 6: Final answer
    x = 588.75

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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.