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Finding the Fourth Proportional to 580.34, 869.30 and 396.88

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Solution

The fourth proportional to 580.34, 869.30 and 396.88 is: 594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.34 : 869.30 = 396.88 : x
  2. Step 2: Convert to fraction form
    580.34/869.30 = 396.88/x
  3. Step 3: Cross multiply
    580.34x = 869.30 × 396.88
  4. Step 4: Simplify right side
    580.34x = 345,007.78
  5. Step 5: Solve for x
    x = 345,007.78/580.34
  6. Step 6: Final answer
    x = 594.49

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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.