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Finding the Fourth Proportional to 579.58, 869.39 and 305.75

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Solution

The fourth proportional to 579.58, 869.39 and 305.75 is: 458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.58 : 869.39 = 305.75 : x
  2. Step 2: Convert to fraction form
    579.58/869.39 = 305.75/x
  3. Step 3: Cross multiply
    579.58x = 869.39 × 305.75
  4. Step 4: Simplify right side
    579.58x = 265,815.99
  5. Step 5: Solve for x
    x = 265,815.99/579.58
  6. Step 6: Final answer
    x = 458.64

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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.