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Finding the Fourth Proportional to 579.64, 869.14 and 305.44

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Solution

The fourth proportional to 579.64, 869.14 and 305.44 is: 457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.64 : 869.14 = 305.44 : x
  2. Step 2: Convert to fraction form
    579.64/869.14 = 305.44/x
  3. Step 3: Cross multiply
    579.64x = 869.14 × 305.44
  4. Step 4: Simplify right side
    579.64x = 265,470.12
  5. Step 5: Solve for x
    x = 265,470.12/579.64
  6. Step 6: Final answer
    x = 457.99

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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.