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Finding the Fourth Proportional to 1,105.11, 1,658.25 and 489.42

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Solution

The fourth proportional to 1,105.11, 1,658.25 and 489.42 is: 734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.11 : 1,658.25 = 489.42 : x
  2. Step 2: Convert to fraction form
    1,105.11/1,658.25 = 489.42/x
  3. Step 3: Cross multiply
    1,105.11x = 1,658.25 × 489.42
  4. Step 4: Simplify right side
    1,105.11x = 811,580.72
  5. Step 5: Solve for x
    x = 811,580.72/1,105.11
  6. Step 6: Final answer
    x = 734.39

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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.