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Finding the Fourth Proportional to 575.91, 864.05 and 191.43

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Solution

The fourth proportional to 575.91, 864.05 and 191.43 is: 287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.91 : 864.05 = 191.43 : x
  2. Step 2: Convert to fraction form
    575.91/864.05 = 191.43/x
  3. Step 3: Cross multiply
    575.91x = 864.05 × 191.43
  4. Step 4: Simplify right side
    575.91x = 165,404.13
  5. Step 5: Solve for x
    x = 165,404.13/575.91
  6. Step 6: Final answer
    x = 287.20

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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.