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Finding the Fourth Proportional to 966.98, 1,450.98 and 914.71

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Solution

The fourth proportional to 966.98, 1,450.98 and 914.71 is: 1,372.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.98 : 1,450.98 = 914.71 : x
  2. Step 2: Convert to fraction form
    966.98/1,450.98 = 914.71/x
  3. Step 3: Cross multiply
    966.98x = 1,450.98 × 914.71
  4. Step 4: Simplify right side
    966.98x = 1,327,222.29
  5. Step 5: Solve for x
    x = 1,327,222.29/966.98
  6. Step 6: Final answer
    x = 1,372.55

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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.