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Finding the Fourth Proportional to 574.29, 865.68 and 540.84

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Solution

The fourth proportional to 574.29, 865.68 and 540.84 is: 815.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.29 : 865.68 = 540.84 : x
  2. Step 2: Convert to fraction form
    574.29/865.68 = 540.84/x
  3. Step 3: Cross multiply
    574.29x = 865.68 × 540.84
  4. Step 4: Simplify right side
    574.29x = 468,195.59
  5. Step 5: Solve for x
    x = 468,195.59/574.29
  6. Step 6: Final answer
    x = 815.26

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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.