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Finding the Fourth Proportional to 876.74, 1,325.05 and 861.62

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Solution

The fourth proportional to 876.74, 1,325.05 and 861.62 is: 1,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.74 : 1,325.05 = 861.62 : x
  2. Step 2: Convert to fraction form
    876.74/1,325.05 = 861.62/x
  3. Step 3: Cross multiply
    876.74x = 1,325.05 × 861.62
  4. Step 4: Simplify right side
    876.74x = 1,141,680.80
  5. Step 5: Solve for x
    x = 1,141,680.80/876.74
  6. Step 6: Final answer
    x = 1,302.20

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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.