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Finding the Fourth Proportional to 574.34, 791.84 and 469.31

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Solution

The fourth proportional to 574.34, 791.84 and 469.31 is: 647.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.34 : 791.84 = 469.31 : x
  2. Step 2: Convert to fraction form
    574.34/791.84 = 469.31/x
  3. Step 3: Cross multiply
    574.34x = 791.84 × 469.31
  4. Step 4: Simplify right side
    574.34x = 371,618.43
  5. Step 5: Solve for x
    x = 371,618.43/574.34
  6. Step 6: Final answer
    x = 647.04

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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.