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Finding the Fourth Proportional to 1,103.82, 1,656.16 and 487.09

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Solution

The fourth proportional to 1,103.82, 1,656.16 and 487.09 is: 730.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.82 : 1,656.16 = 487.09 : x
  2. Step 2: Convert to fraction form
    1,103.82/1,656.16 = 487.09/x
  3. Step 3: Cross multiply
    1,103.82x = 1,656.16 × 487.09
  4. Step 4: Simplify right side
    1,103.82x = 806,698.97
  5. Step 5: Solve for x
    x = 806,698.97/1,103.82
  6. Step 6: Final answer
    x = 730.82

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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.