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Finding the Fourth Proportional to 711.78, 1,067.24 and 278.42

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Solution

The fourth proportional to 711.78, 1,067.24 and 278.42 is: 417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.78 : 1,067.24 = 278.42 : x
  2. Step 2: Convert to fraction form
    711.78/1,067.24 = 278.42/x
  3. Step 3: Cross multiply
    711.78x = 1,067.24 × 278.42
  4. Step 4: Simplify right side
    711.78x = 297,140.96
  5. Step 5: Solve for x
    x = 297,140.96/711.78
  6. Step 6: Final answer
    x = 417.46

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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.