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Finding the Fourth Proportional to 574, 791.39 and 468.97

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Solution

The fourth proportional to 574, 791.39 and 468.97 is: 646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    574 : 791.39 = 468.97 : x
  2. Step 2: Convert to fraction form
    574/791.39 = 468.97/x
  3. Step 3: Cross multiply
    574x = 791.39 × 468.97
  4. Step 4: Simplify right side
    574x = 371,138.17
  5. Step 5: Solve for x
    x = 371,138.17/574
  6. Step 6: Final answer
    x = 646.58

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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.