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Finding the Fourth Proportional to 1,218.40, 1,824.49 and 669.98

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Solution

The fourth proportional to 1,218.40, 1,824.49 and 669.98 is: 1,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.40 : 1,824.49 = 669.98 : x
  2. Step 2: Convert to fraction form
    1,218.40/1,824.49 = 669.98/x
  3. Step 3: Cross multiply
    1,218.40x = 1,824.49 × 669.98
  4. Step 4: Simplify right side
    1,218.40x = 1,222,377.21
  5. Step 5: Solve for x
    x = 1,222,377.21/1,218.40
  6. Step 6: Final answer
    x = 1,003.26

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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.