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Finding the Fourth Proportional to 834.86, 1,252.29 and 218.57

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Solution

The fourth proportional to 834.86, 1,252.29 and 218.57 is: 327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.86 : 1,252.29 = 218.57 : x
  2. Step 2: Convert to fraction form
    834.86/1,252.29 = 218.57/x
  3. Step 3: Cross multiply
    834.86x = 1,252.29 × 218.57
  4. Step 4: Simplify right side
    834.86x = 273,707.58
  5. Step 5: Solve for x
    x = 273,707.58/834.86
  6. Step 6: Final answer
    x = 327.85

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1.5x scale

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.