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Finding the Fourth Proportional to 580.12, 869.78 and 214.71

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Solution

The fourth proportional to 580.12, 869.78 and 214.71 is: 321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.12 : 869.78 = 214.71 : x
  2. Step 2: Convert to fraction form
    580.12/869.78 = 214.71/x
  3. Step 3: Cross multiply
    580.12x = 869.78 × 214.71
  4. Step 4: Simplify right side
    580.12x = 186,753.18
  5. Step 5: Solve for x
    x = 186,753.18/580.12
  6. Step 6: Final answer
    x = 321.92

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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.