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Finding the Fourth Proportional to 1,105.70, 1,659.15 and 412.34

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Solution

The fourth proportional to 1,105.70, 1,659.15 and 412.34 is: 618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.70 : 1,659.15 = 412.34 : x
  2. Step 2: Convert to fraction form
    1,105.70/1,659.15 = 412.34/x
  3. Step 3: Cross multiply
    1,105.70x = 1,659.15 × 412.34
  4. Step 4: Simplify right side
    1,105.70x = 684,125.62
  5. Step 5: Solve for x
    x = 684,125.62/1,105.70
  6. Step 6: Final answer
    x = 618.73

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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.