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Finding the Fourth Proportional to 574.17, 865.48 and 540.72

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Solution

The fourth proportional to 574.17, 865.48 and 540.72 is: 815.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.17 : 865.48 = 540.72 : x
  2. Step 2: Convert to fraction form
    574.17/865.48 = 540.72/x
  3. Step 3: Cross multiply
    574.17x = 865.48 × 540.72
  4. Step 4: Simplify right side
    574.17x = 467,982.35
  5. Step 5: Solve for x
    x = 467,982.35/574.17
  6. Step 6: Final answer
    x = 815.06

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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.