Home / 1,394.08-2,091.20-469.78

Finding the Fourth Proportional to 1,394.08, 2,091.20 and 469.78

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Solution

The fourth proportional to 1,394.08, 2,091.20 and 469.78 is: 704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.08 : 2,091.20 = 469.78 : x
  2. Step 2: Convert to fraction form
    1,394.08/2,091.20 = 469.78/x
  3. Step 3: Cross multiply
    1,394.08x = 2,091.20 × 469.78
  4. Step 4: Simplify right side
    1,394.08x = 982,403.94
  5. Step 5: Solve for x
    x = 982,403.94/1,394.08
  6. Step 6: Final answer
    x = 704.70

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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.