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Finding the Fourth Proportional to 1,354.75, 2,032.22 and 380.81

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Solution

The fourth proportional to 1,354.75, 2,032.22 and 380.81 is: 571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.75 : 2,032.22 = 380.81 : x
  2. Step 2: Convert to fraction form
    1,354.75/2,032.22 = 380.81/x
  3. Step 3: Cross multiply
    1,354.75x = 2,032.22 × 380.81
  4. Step 4: Simplify right side
    1,354.75x = 773,895.73
  5. Step 5: Solve for x
    x = 773,895.73/1,354.75
  6. Step 6: Final answer
    x = 571.25

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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.