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Finding the Fourth Proportional to 860.46, 1,296.10 and 849.12

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Solution

The fourth proportional to 860.46, 1,296.10 and 849.12 is: 1,279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.46 : 1,296.10 = 849.12 : x
  2. Step 2: Convert to fraction form
    860.46/1,296.10 = 849.12/x
  3. Step 3: Cross multiply
    860.46x = 1,296.10 × 849.12
  4. Step 4: Simplify right side
    860.46x = 1,100,544.43
  5. Step 5: Solve for x
    x = 1,100,544.43/860.46
  6. Step 6: Final answer
    x = 1,279.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.