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Finding the Fourth Proportional to 1,273.18, 1,909.95 and 451.38

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Solution

The fourth proportional to 1,273.18, 1,909.95 and 451.38 is: 677.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.18 : 1,909.95 = 451.38 : x
  2. Step 2: Convert to fraction form
    1,273.18/1,909.95 = 451.38/x
  3. Step 3: Cross multiply
    1,273.18x = 1,909.95 × 451.38
  4. Step 4: Simplify right side
    1,273.18x = 862,117.14
  5. Step 5: Solve for x
    x = 862,117.14/1,273.18
  6. Step 6: Final answer
    x = 677.14

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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.