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Finding the Fourth Proportional to 1,104.70, 1,524.61 and 662.71

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Solution

The fourth proportional to 1,104.70, 1,524.61 and 662.71 is: 914.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.70 : 1,524.61 = 662.71 : x
  2. Step 2: Convert to fraction form
    1,104.70/1,524.61 = 662.71/x
  3. Step 3: Cross multiply
    1,104.70x = 1,524.61 × 662.71
  4. Step 4: Simplify right side
    1,104.70x = 1,010,372.64
  5. Step 5: Solve for x
    x = 1,010,372.64/1,104.70
  6. Step 6: Final answer
    x = 914.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.