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Finding the Fourth Proportional to 759.11, 1,139.24 and 499.03

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Solution

The fourth proportional to 759.11, 1,139.24 and 499.03 is: 748.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.11 : 1,139.24 = 499.03 : x
  2. Step 2: Convert to fraction form
    759.11/1,139.24 = 499.03/x
  3. Step 3: Cross multiply
    759.11x = 1,139.24 × 499.03
  4. Step 4: Simplify right side
    759.11x = 568,513.34
  5. Step 5: Solve for x
    x = 568,513.34/759.11
  6. Step 6: Final answer
    x = 748.93

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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.