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Finding the Fourth Proportional to 1,103, 1,648.40 and 885.56

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Solution

The fourth proportional to 1,103, 1,648.40 and 885.56 is: 1,323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103 : 1,648.40 = 885.56 : x
  2. Step 2: Convert to fraction form
    1,103/1,648.40 = 885.56/x
  3. Step 3: Cross multiply
    1,103x = 1,648.40 × 885.56
  4. Step 4: Simplify right side
    1,103x = 1,459,757.10
  5. Step 5: Solve for x
    x = 1,459,757.10/1,103
  6. Step 6: Final answer
    x = 1,323.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.