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Finding the Fourth Proportional to 575.97, 863.75 and 210.66

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Solution

The fourth proportional to 575.97, 863.75 and 210.66 is: 315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.97 : 863.75 = 210.66 : x
  2. Step 2: Convert to fraction form
    575.97/863.75 = 210.66/x
  3. Step 3: Cross multiply
    575.97x = 863.75 × 210.66
  4. Step 4: Simplify right side
    575.97x = 181,953.68
  5. Step 5: Solve for x
    x = 181,953.68/575.97
  6. Step 6: Final answer
    x = 315.91

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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.