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Finding the Fourth Proportional to 1,394.02, 2,091.12 and 469.63

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Solution

The fourth proportional to 1,394.02, 2,091.12 and 469.63 is: 704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.02 : 2,091.12 = 469.63 : x
  2. Step 2: Convert to fraction form
    1,394.02/2,091.12 = 469.63/x
  3. Step 3: Cross multiply
    1,394.02x = 2,091.12 × 469.63
  4. Step 4: Simplify right side
    1,394.02x = 982,052.69
  5. Step 5: Solve for x
    x = 982,052.69/1,394.02
  6. Step 6: Final answer
    x = 704.48

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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.