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Finding the Fourth Proportional to 1,272.44, 1,909.71 and 542.57

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Solution

The fourth proportional to 1,272.44, 1,909.71 and 542.57 is: 814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.44 : 1,909.71 = 542.57 : x
  2. Step 2: Convert to fraction form
    1,272.44/1,909.71 = 542.57/x
  3. Step 3: Cross multiply
    1,272.44x = 1,909.71 × 542.57
  4. Step 4: Simplify right side
    1,272.44x = 1,036,141.81
  5. Step 5: Solve for x
    x = 1,036,141.81/1,272.44
  6. Step 6: Final answer
    x = 814.29

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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.