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Finding the Fourth Proportional to 575.72, 863.28 and 301.76

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Solution

The fourth proportional to 575.72, 863.28 and 301.76 is: 452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.72 : 863.28 = 301.76 : x
  2. Step 2: Convert to fraction form
    575.72/863.28 = 301.76/x
  3. Step 3: Cross multiply
    575.72x = 863.28 × 301.76
  4. Step 4: Simplify right side
    575.72x = 260,503.37
  5. Step 5: Solve for x
    x = 260,503.37/575.72
  6. Step 6: Final answer
    x = 452.48

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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.