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Finding the Fourth Proportional to 715.08, 1,072.61 and 252.86

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Solution

The fourth proportional to 715.08, 1,072.61 and 252.86 is: 379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.08 : 1,072.61 = 252.86 : x
  2. Step 2: Convert to fraction form
    715.08/1,072.61 = 252.86/x
  3. Step 3: Cross multiply
    715.08x = 1,072.61 × 252.86
  4. Step 4: Simplify right side
    715.08x = 271,213.54
  5. Step 5: Solve for x
    x = 271,213.54/715.08
  6. Step 6: Final answer
    x = 379.28

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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.