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Finding the Fourth Proportional to 1,103.11, 1,655.09 and 486.38

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Solution

The fourth proportional to 1,103.11, 1,655.09 and 486.38 is: 729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.11 : 1,655.09 = 486.38 : x
  2. Step 2: Convert to fraction form
    1,103.11/1,655.09 = 486.38/x
  3. Step 3: Cross multiply
    1,103.11x = 1,655.09 × 486.38
  4. Step 4: Simplify right side
    1,103.11x = 805,003.89
  5. Step 5: Solve for x
    x = 805,003.89/1,103.11
  6. Step 6: Final answer
    x = 729.76

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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.