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Finding the Fourth Proportional to 1,105.22, 1,656.86 and 489.02

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Solution

The fourth proportional to 1,105.22, 1,656.86 and 489.02 is: 733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.22 : 1,656.86 = 489.02 : x
  2. Step 2: Convert to fraction form
    1,105.22/1,656.86 = 489.02/x
  3. Step 3: Cross multiply
    1,105.22x = 1,656.86 × 489.02
  4. Step 4: Simplify right side
    1,105.22x = 810,226.95
  5. Step 5: Solve for x
    x = 810,226.95/1,105.22
  6. Step 6: Final answer
    x = 733.09

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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.