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Finding the Fourth Proportional to 884.34, 1,318.01 and 861.30

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Solution

The fourth proportional to 884.34, 1,318.01 and 861.30 is: 1,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.34 : 1,318.01 = 861.30 : x
  2. Step 2: Convert to fraction form
    884.34/1,318.01 = 861.30/x
  3. Step 3: Cross multiply
    884.34x = 1,318.01 × 861.30
  4. Step 4: Simplify right side
    884.34x = 1,135,197.71
  5. Step 5: Solve for x
    x = 1,135,197.71/884.34
  6. Step 6: Final answer
    x = 1,283.67

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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.