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Finding the Fourth Proportional to 574.03, 791.81 and 463.65

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Solution

The fourth proportional to 574.03, 791.81 and 463.65 is: 639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.03 : 791.81 = 463.65 : x
  2. Step 2: Convert to fraction form
    574.03/791.81 = 463.65/x
  3. Step 3: Cross multiply
    574.03x = 791.81 × 463.65
  4. Step 4: Simplify right side
    574.03x = 367,123.61
  5. Step 5: Solve for x
    x = 367,123.61/574.03
  6. Step 6: Final answer
    x = 639.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.