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Finding the Fourth Proportional to 842.68, 1,255.79 and 834.48

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Solution

The fourth proportional to 842.68, 1,255.79 and 834.48 is: 1,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.68 : 1,255.79 = 834.48 : x
  2. Step 2: Convert to fraction form
    842.68/1,255.79 = 834.48/x
  3. Step 3: Cross multiply
    842.68x = 1,255.79 × 834.48
  4. Step 4: Simplify right side
    842.68x = 1,047,931.64
  5. Step 5: Solve for x
    x = 1,047,931.64/842.68
  6. Step 6: Final answer
    x = 1,243.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.