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Finding the Fourth Proportional to 1,278.78, 1,917.55 and 401.14

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Solution

The fourth proportional to 1,278.78, 1,917.55 and 401.14 is: 601.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.78 : 1,917.55 = 401.14 : x
  2. Step 2: Convert to fraction form
    1,278.78/1,917.55 = 401.14/x
  3. Step 3: Cross multiply
    1,278.78x = 1,917.55 × 401.14
  4. Step 4: Simplify right side
    1,278.78x = 769,206.01
  5. Step 5: Solve for x
    x = 769,206.01/1,278.78
  6. Step 6: Final answer
    x = 601.52

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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.