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Finding the Fourth Proportional to 1,305.80, 1,957.26 and 818.18

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Solution

The fourth proportional to 1,305.80, 1,957.26 and 818.18 is: 1,226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.80 : 1,957.26 = 818.18 : x
  2. Step 2: Convert to fraction form
    1,305.80/1,957.26 = 818.18/x
  3. Step 3: Cross multiply
    1,305.80x = 1,957.26 × 818.18
  4. Step 4: Simplify right side
    1,305.80x = 1,601,390.99
  5. Step 5: Solve for x
    x = 1,601,390.99/1,305.80
  6. Step 6: Final answer
    x = 1,226.37

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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.