Home / 1,604.03-2,402.19-821.97

Finding the Fourth Proportional to 1,604.03, 2,402.19 and 821.97

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Solution

The fourth proportional to 1,604.03, 2,402.19 and 821.97 is: 1,230.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.03 : 2,402.19 = 821.97 : x
  2. Step 2: Convert to fraction form
    1,604.03/2,402.19 = 821.97/x
  3. Step 3: Cross multiply
    1,604.03x = 2,402.19 × 821.97
  4. Step 4: Simplify right side
    1,604.03x = 1,974,528.11
  5. Step 5: Solve for x
    x = 1,974,528.11/1,604.03
  6. Step 6: Final answer
    x = 1,230.98

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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.