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Finding the Fourth Proportional to 876.42, 1,311.39 and 682.02

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Solution

The fourth proportional to 876.42, 1,311.39 and 682.02 is: 1,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.42 : 1,311.39 = 682.02 : x
  2. Step 2: Convert to fraction form
    876.42/1,311.39 = 682.02/x
  3. Step 3: Cross multiply
    876.42x = 1,311.39 × 682.02
  4. Step 4: Simplify right side
    876.42x = 894,394.21
  5. Step 5: Solve for x
    x = 894,394.21/876.42
  6. Step 6: Final answer
    x = 1,020.51

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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.