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Finding the Fourth Proportional to 791.07, 1,184.99 and 752.19

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Solution

The fourth proportional to 791.07, 1,184.99 and 752.19 is: 1,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.07 : 1,184.99 = 752.19 : x
  2. Step 2: Convert to fraction form
    791.07/1,184.99 = 752.19/x
  3. Step 3: Cross multiply
    791.07x = 1,184.99 × 752.19
  4. Step 4: Simplify right side
    791.07x = 891,333.87
  5. Step 5: Solve for x
    x = 891,333.87/791.07
  6. Step 6: Final answer
    x = 1,126.74

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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.