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Finding the Fourth Proportional to 575.43, 862.72 and 185.21

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Solution

The fourth proportional to 575.43, 862.72 and 185.21 is: 277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.43 : 862.72 = 185.21 : x
  2. Step 2: Convert to fraction form
    575.43/862.72 = 185.21/x
  3. Step 3: Cross multiply
    575.43x = 862.72 × 185.21
  4. Step 4: Simplify right side
    575.43x = 159,783.91
  5. Step 5: Solve for x
    x = 159,783.91/575.43
  6. Step 6: Final answer
    x = 277.68

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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.