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Finding the Fourth Proportional to 1,394.35, 2,091.51 and 354.36

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Solution

The fourth proportional to 1,394.35, 2,091.51 and 354.36 is: 531.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.35 : 2,091.51 = 354.36 : x
  2. Step 2: Convert to fraction form
    1,394.35/2,091.51 = 354.36/x
  3. Step 3: Cross multiply
    1,394.35x = 2,091.51 × 354.36
  4. Step 4: Simplify right side
    1,394.35x = 741,137.91
  5. Step 5: Solve for x
    x = 741,137.91/1,394.35
  6. Step 6: Final answer
    x = 531.53

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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.