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Finding the Fourth Proportional to 1,366.35, 2,049.53 and 392.54

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Solution

The fourth proportional to 1,366.35, 2,049.53 and 392.54 is: 588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.35 : 2,049.53 = 392.54 : x
  2. Step 2: Convert to fraction form
    1,366.35/2,049.53 = 392.54/x
  3. Step 3: Cross multiply
    1,366.35x = 2,049.53 × 392.54
  4. Step 4: Simplify right side
    1,366.35x = 804,510.30
  5. Step 5: Solve for x
    x = 804,510.30/1,366.35
  6. Step 6: Final answer
    x = 588.80

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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.