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Finding the Fourth Proportional to 963.80, 1,446.15 and 916.26

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Solution

The fourth proportional to 963.80, 1,446.15 and 916.26 is: 1,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.80 : 1,446.15 = 916.26 : x
  2. Step 2: Convert to fraction form
    963.80/1,446.15 = 916.26/x
  3. Step 3: Cross multiply
    963.80x = 1,446.15 × 916.26
  4. Step 4: Simplify right side
    963.80x = 1,325,055.55
  5. Step 5: Solve for x
    x = 1,325,055.55/963.80
  6. Step 6: Final answer
    x = 1,374.83

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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.