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Finding the Fourth Proportional to 791.41, 1,184.68 and 674.77

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Solution

The fourth proportional to 791.41, 1,184.68 and 674.77 is: 1,010.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.41 : 1,184.68 = 674.77 : x
  2. Step 2: Convert to fraction form
    791.41/1,184.68 = 674.77/x
  3. Step 3: Cross multiply
    791.41x = 1,184.68 × 674.77
  4. Step 4: Simplify right side
    791.41x = 799,386.52
  5. Step 5: Solve for x
    x = 799,386.52/791.41
  6. Step 6: Final answer
    x = 1,010.08

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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.