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Finding the Fourth Proportional to 1,273.87, 1,909.59 and 542.44

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Solution

The fourth proportional to 1,273.87, 1,909.59 and 542.44 is: 813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.87 : 1,909.59 = 542.44 : x
  2. Step 2: Convert to fraction form
    1,273.87/1,909.59 = 542.44/x
  3. Step 3: Cross multiply
    1,273.87x = 1,909.59 × 542.44
  4. Step 4: Simplify right side
    1,273.87x = 1,035,838.00
  5. Step 5: Solve for x
    x = 1,035,838.00/1,273.87
  6. Step 6: Final answer
    x = 813.14

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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.