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Finding the Fourth Proportional to 757.49, 1,135.69 and 611.42

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Solution

The fourth proportional to 757.49, 1,135.69 and 611.42 is: 916.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.49 : 1,135.69 = 611.42 : x
  2. Step 2: Convert to fraction form
    757.49/1,135.69 = 611.42/x
  3. Step 3: Cross multiply
    757.49x = 1,135.69 × 611.42
  4. Step 4: Simplify right side
    757.49x = 694,376.37
  5. Step 5: Solve for x
    x = 694,376.37/757.49
  6. Step 6: Final answer
    x = 916.69

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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.