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Finding the Fourth Proportional to 579.11, 869.30 and 305.12

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Solution

The fourth proportional to 579.11, 869.30 and 305.12 is: 458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.11 : 869.30 = 305.12 : x
  2. Step 2: Convert to fraction form
    579.11/869.30 = 305.12/x
  3. Step 3: Cross multiply
    579.11x = 869.30 × 305.12
  4. Step 4: Simplify right side
    579.11x = 265,234.94
  5. Step 5: Solve for x
    x = 265,234.94/579.11
  6. Step 6: Final answer
    x = 458.01

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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.