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Finding the Fourth Proportional to 715.11, 1,072.86 and 422.87

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Solution

The fourth proportional to 715.11, 1,072.86 and 422.87 is: 634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.11 : 1,072.86 = 422.87 : x
  2. Step 2: Convert to fraction form
    715.11/1,072.86 = 422.87/x
  3. Step 3: Cross multiply
    715.11x = 1,072.86 × 422.87
  4. Step 4: Simplify right side
    715.11x = 453,675.74
  5. Step 5: Solve for x
    x = 453,675.74/715.11
  6. Step 6: Final answer
    x = 634.42

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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.