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Finding the Fourth Proportional to 574.82, 865.36 and 393.36

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Solution

The fourth proportional to 574.82, 865.36 and 393.36 is: 592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.82 : 865.36 = 393.36 : x
  2. Step 2: Convert to fraction form
    574.82/865.36 = 393.36/x
  3. Step 3: Cross multiply
    574.82x = 865.36 × 393.36
  4. Step 4: Simplify right side
    574.82x = 340,398.01
  5. Step 5: Solve for x
    x = 340,398.01/574.82
  6. Step 6: Final answer
    x = 592.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.