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Finding the Fourth Proportional to 575.78, 863.64 and 210.56

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Solution

The fourth proportional to 575.78, 863.64 and 210.56 is: 315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.78 : 863.64 = 210.56 : x
  2. Step 2: Convert to fraction form
    575.78/863.64 = 210.56/x
  3. Step 3: Cross multiply
    575.78x = 863.64 × 210.56
  4. Step 4: Simplify right side
    575.78x = 181,843.72
  5. Step 5: Solve for x
    x = 181,843.72/575.78
  6. Step 6: Final answer
    x = 315.82

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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.