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Finding the Fourth Proportional to 1,278.18, 1,917.87 and 759.21

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Solution

The fourth proportional to 1,278.18, 1,917.87 and 759.21 is: 1,139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.18 : 1,917.87 = 759.21 : x
  2. Step 2: Convert to fraction form
    1,278.18/1,917.87 = 759.21/x
  3. Step 3: Cross multiply
    1,278.18x = 1,917.87 × 759.21
  4. Step 4: Simplify right side
    1,278.18x = 1,456,066.08
  5. Step 5: Solve for x
    x = 1,456,066.08/1,278.18
  6. Step 6: Final answer
    x = 1,139.17

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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.