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Finding the Fourth Proportional to 579.87, 869.41 and 214.46

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Solution

The fourth proportional to 579.87, 869.41 and 214.46 is: 321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.87 : 869.41 = 214.46 : x
  2. Step 2: Convert to fraction form
    579.87/869.41 = 214.46/x
  3. Step 3: Cross multiply
    579.87x = 869.41 × 214.46
  4. Step 4: Simplify right side
    579.87x = 186,455.31
  5. Step 5: Solve for x
    x = 186,455.31/579.87
  6. Step 6: Final answer
    x = 321.55

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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.