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Finding the Fourth Proportional to 575.82, 867.11 and 518.72

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Solution

The fourth proportional to 575.82, 867.11 and 518.72 is: 781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.82 : 867.11 = 518.72 : x
  2. Step 2: Convert to fraction form
    575.82/867.11 = 518.72/x
  3. Step 3: Cross multiply
    575.82x = 867.11 × 518.72
  4. Step 4: Simplify right side
    575.82x = 449,780.37
  5. Step 5: Solve for x
    x = 449,780.37/575.82
  6. Step 6: Final answer
    x = 781.11

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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.