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Finding the Fourth Proportional to 580.06, 869.19 and 214.75

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Solution

The fourth proportional to 580.06, 869.19 and 214.75 is: 321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.06 : 869.19 = 214.75 : x
  2. Step 2: Convert to fraction form
    580.06/869.19 = 214.75/x
  3. Step 3: Cross multiply
    580.06x = 869.19 × 214.75
  4. Step 4: Simplify right side
    580.06x = 186,658.55
  5. Step 5: Solve for x
    x = 186,658.55/580.06
  6. Step 6: Final answer
    x = 321.79

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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.