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Finding the Fourth Proportional to 574.24, 791.71 and 469.22

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Solution

The fourth proportional to 574.24, 791.71 and 469.22 is: 646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.24 : 791.71 = 469.22 : x
  2. Step 2: Convert to fraction form
    574.24/791.71 = 469.22/x
  3. Step 3: Cross multiply
    574.24x = 791.71 × 469.22
  4. Step 4: Simplify right side
    574.24x = 371,486.17
  5. Step 5: Solve for x
    x = 371,486.17/574.24
  6. Step 6: Final answer
    x = 646.92

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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.