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Finding the Fourth Proportional to 965.34, 1,446.45 and 861.42

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Solution

The fourth proportional to 965.34, 1,446.45 and 861.42 is: 1,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.34 : 1,446.45 = 861.42 : x
  2. Step 2: Convert to fraction form
    965.34/1,446.45 = 861.42/x
  3. Step 3: Cross multiply
    965.34x = 1,446.45 × 861.42
  4. Step 4: Simplify right side
    965.34x = 1,246,000.96
  5. Step 5: Solve for x
    x = 1,246,000.96/965.34
  6. Step 6: Final answer
    x = 1,290.74

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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.