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Finding the Fourth Proportional to 580.90, 871.62 and 320.98

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Solution

The fourth proportional to 580.90, 871.62 and 320.98 is: 481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.90 : 871.62 = 320.98 : x
  2. Step 2: Convert to fraction form
    580.90/871.62 = 320.98/x
  3. Step 3: Cross multiply
    580.90x = 871.62 × 320.98
  4. Step 4: Simplify right side
    580.90x = 279,772.59
  5. Step 5: Solve for x
    x = 279,772.59/580.90
  6. Step 6: Final answer
    x = 481.62

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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.