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Finding the Fourth Proportional to 711.56, 1,067.64 and 481.32

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Solution

The fourth proportional to 711.56, 1,067.64 and 481.32 is: 722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.56 : 1,067.64 = 481.32 : x
  2. Step 2: Convert to fraction form
    711.56/1,067.64 = 481.32/x
  3. Step 3: Cross multiply
    711.56x = 1,067.64 × 481.32
  4. Step 4: Simplify right side
    711.56x = 513,876.48
  5. Step 5: Solve for x
    x = 513,876.48/711.56
  6. Step 6: Final answer
    x = 722.18

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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.