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Finding the Fourth Proportional to 1,272.70, 1,909.56 and 542.26

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Solution

The fourth proportional to 1,272.70, 1,909.56 and 542.26 is: 813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.70 : 1,909.56 = 542.26 : x
  2. Step 2: Convert to fraction form
    1,272.70/1,909.56 = 542.26/x
  3. Step 3: Cross multiply
    1,272.70x = 1,909.56 × 542.26
  4. Step 4: Simplify right side
    1,272.70x = 1,035,478.01
  5. Step 5: Solve for x
    x = 1,035,478.01/1,272.70
  6. Step 6: Final answer
    x = 813.61

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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.