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Finding the Fourth Proportional to 1,278.79, 1,918.26 and 401.42

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Solution

The fourth proportional to 1,278.79, 1,918.26 and 401.42 is: 602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.79 : 1,918.26 = 401.42 : x
  2. Step 2: Convert to fraction form
    1,278.79/1,918.26 = 401.42/x
  3. Step 3: Cross multiply
    1,278.79x = 1,918.26 × 401.42
  4. Step 4: Simplify right side
    1,278.79x = 770,027.93
  5. Step 5: Solve for x
    x = 770,027.93/1,278.79
  6. Step 6: Final answer
    x = 602.15

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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.