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Finding the Fourth Proportional to 1,394.54, 2,091.37 and 469.88

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Solution

The fourth proportional to 1,394.54, 2,091.37 and 469.88 is: 704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.54 : 2,091.37 = 469.88 : x
  2. Step 2: Convert to fraction form
    1,394.54/2,091.37 = 469.88/x
  3. Step 3: Cross multiply
    1,394.54x = 2,091.37 × 469.88
  4. Step 4: Simplify right side
    1,394.54x = 982,680.13
  5. Step 5: Solve for x
    x = 982,680.13/1,394.54
  6. Step 6: Final answer
    x = 704.67

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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.