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Finding the Fourth Proportional to 1,273.85, 1,910.14 and 452.00

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Solution

The fourth proportional to 1,273.85, 1,910.14 and 452.00 is: 677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.85 : 1,910.14 = 452.00 : x
  2. Step 2: Convert to fraction form
    1,273.85/1,910.14 = 452.00/x
  3. Step 3: Cross multiply
    1,273.85x = 1,910.14 × 452.00
  4. Step 4: Simplify right side
    1,273.85x = 863,386.93
  5. Step 5: Solve for x
    x = 863,386.93/1,273.85
  6. Step 6: Final answer
    x = 677.78

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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.