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Finding the Fourth Proportional to 1,480.97, 2,221.43 and 385.24

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Solution

The fourth proportional to 1,480.97, 2,221.43 and 385.24 is: 577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.97 : 2,221.43 = 385.24 : x
  2. Step 2: Convert to fraction form
    1,480.97/2,221.43 = 385.24/x
  3. Step 3: Cross multiply
    1,480.97x = 2,221.43 × 385.24
  4. Step 4: Simplify right side
    1,480.97x = 855,783.69
  5. Step 5: Solve for x
    x = 855,783.69/1,480.97
  6. Step 6: Final answer
    x = 577.85

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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.