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Finding the Fourth Proportional to 1,273.28, 1,908.48 and 542.72

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Solution

The fourth proportional to 1,273.28, 1,908.48 and 542.72 is: 813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.28 : 1,908.48 = 542.72 : x
  2. Step 2: Convert to fraction form
    1,273.28/1,908.48 = 542.72/x
  3. Step 3: Cross multiply
    1,273.28x = 1,908.48 × 542.72
  4. Step 4: Simplify right side
    1,273.28x = 1,035,770.27
  5. Step 5: Solve for x
    x = 1,035,770.27/1,273.28
  6. Step 6: Final answer
    x = 813.47

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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.