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Finding the Fourth Proportional to 1,112.70, 1,658.49 and 1,104.60

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Solution

The fourth proportional to 1,112.70, 1,658.49 and 1,104.60 is: 1,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.70 : 1,658.49 = 1,104.60 : x
  2. Step 2: Convert to fraction form
    1,112.70/1,658.49 = 1,104.60/x
  3. Step 3: Cross multiply
    1,112.70x = 1,658.49 × 1,104.60
  4. Step 4: Simplify right side
    1,112.70x = 1,831,968.05
  5. Step 5: Solve for x
    x = 1,831,968.05/1,112.70
  6. Step 6: Final answer
    x = 1,646.42

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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.