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Finding the Fourth Proportional to 575.67, 863.80 and 287.11

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Solution

The fourth proportional to 575.67, 863.80 and 287.11 is: 430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.67 : 863.80 = 287.11 : x
  2. Step 2: Convert to fraction form
    575.67/863.80 = 287.11/x
  3. Step 3: Cross multiply
    575.67x = 863.80 × 287.11
  4. Step 4: Simplify right side
    575.67x = 248,005.98
  5. Step 5: Solve for x
    x = 248,005.98/575.67
  6. Step 6: Final answer
    x = 430.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.