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Finding the Fourth Proportional to 575.74, 862.94 and 301.96

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Solution

The fourth proportional to 575.74, 862.94 and 301.96 is: 452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.74 : 862.94 = 301.96 : x
  2. Step 2: Convert to fraction form
    575.74/862.94 = 301.96/x
  3. Step 3: Cross multiply
    575.74x = 862.94 × 301.96
  4. Step 4: Simplify right side
    575.74x = 260,571.85
  5. Step 5: Solve for x
    x = 260,571.85/575.74
  6. Step 6: Final answer
    x = 452.59

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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.