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Finding the Fourth Proportional to 1,218.80, 1,821.49 and 890.42

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Solution

The fourth proportional to 1,218.80, 1,821.49 and 890.42 is: 1,330.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.80 : 1,821.49 = 890.42 : x
  2. Step 2: Convert to fraction form
    1,218.80/1,821.49 = 890.42/x
  3. Step 3: Cross multiply
    1,218.80x = 1,821.49 × 890.42
  4. Step 4: Simplify right side
    1,218.80x = 1,621,884.92
  5. Step 5: Solve for x
    x = 1,621,884.92/1,218.80
  6. Step 6: Final answer
    x = 1,330.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.