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Finding the Fourth Proportional to 865.92, 1,299.86 and 712.10

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Solution

The fourth proportional to 865.92, 1,299.86 and 712.10 is: 1,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.92 : 1,299.86 = 712.10 : x
  2. Step 2: Convert to fraction form
    865.92/1,299.86 = 712.10/x
  3. Step 3: Cross multiply
    865.92x = 1,299.86 × 712.10
  4. Step 4: Simplify right side
    865.92x = 925,630.31
  5. Step 5: Solve for x
    x = 925,630.31/865.92
  6. Step 6: Final answer
    x = 1,068.96

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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.