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Finding the Fourth Proportional to 1,149.50, 1,719.41 and 969

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Solution

The fourth proportional to 1,149.50, 1,719.41 and 969 is: 1,449.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.50 : 1,719.41 = 969 : x
  2. Step 2: Convert to fraction form
    1,149.50/1,719.41 = 969/x
  3. Step 3: Cross multiply
    1,149.50x = 1,719.41 × 969
  4. Step 4: Simplify right side
    1,149.50x = 1,666,108.29
  5. Step 5: Solve for x
    x = 1,666,108.29/1,149.50
  6. Step 6: Final answer
    x = 1,449.43

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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.