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Finding the Fourth Proportional to 575.10, 862.75 and 301.27

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Solution

The fourth proportional to 575.10, 862.75 and 301.27 is: 451.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.10 : 862.75 = 301.27 : x
  2. Step 2: Convert to fraction form
    575.10/862.75 = 301.27/x
  3. Step 3: Cross multiply
    575.10x = 862.75 × 301.27
  4. Step 4: Simplify right side
    575.10x = 259,920.53
  5. Step 5: Solve for x
    x = 259,920.53/575.10
  6. Step 6: Final answer
    x = 451.96

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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.