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Finding the Fourth Proportional to 757.11, 1,133.24 and 391.40

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Solution

The fourth proportional to 757.11, 1,133.24 and 391.40 is: 585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.11 : 1,133.24 = 391.40 : x
  2. Step 2: Convert to fraction form
    757.11/1,133.24 = 391.40/x
  3. Step 3: Cross multiply
    757.11x = 1,133.24 × 391.40
  4. Step 4: Simplify right side
    757.11x = 443,550.14
  5. Step 5: Solve for x
    x = 443,550.14/757.11
  6. Step 6: Final answer
    x = 585.85

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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.