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Finding the Fourth Proportional to 574.34, 791.84 and 417.20

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Solution

The fourth proportional to 574.34, 791.84 and 417.20 is: 575.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.34 : 791.84 = 417.20 : x
  2. Step 2: Convert to fraction form
    574.34/791.84 = 417.20/x
  3. Step 3: Cross multiply
    574.34x = 791.84 × 417.20
  4. Step 4: Simplify right side
    574.34x = 330,352.73
  5. Step 5: Solve for x
    x = 330,352.73/574.34
  6. Step 6: Final answer
    x = 575.19

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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.