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Finding the Fourth Proportional to 980.50, 1,468.02 and 809.23

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Solution

The fourth proportional to 980.50, 1,468.02 and 809.23 is: 1,211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.50 : 1,468.02 = 809.23 : x
  2. Step 2: Convert to fraction form
    980.50/1,468.02 = 809.23/x
  3. Step 3: Cross multiply
    980.50x = 1,468.02 × 809.23
  4. Step 4: Simplify right side
    980.50x = 1,187,965.82
  5. Step 5: Solve for x
    x = 1,187,965.82/980.50
  6. Step 6: Final answer
    x = 1,211.59

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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.