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Finding the Fourth Proportional to 791.03, 1,184.67 and 400.55

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Solution

The fourth proportional to 791.03, 1,184.67 and 400.55 is: 599.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.03 : 1,184.67 = 400.55 : x
  2. Step 2: Convert to fraction form
    791.03/1,184.67 = 400.55/x
  3. Step 3: Cross multiply
    791.03x = 1,184.67 × 400.55
  4. Step 4: Simplify right side
    791.03x = 474,513.65
  5. Step 5: Solve for x
    x = 474,513.65/791.03
  6. Step 6: Final answer
    x = 599.87

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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.