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Finding the Fourth Proportional to 1,105.20, 1,657.40 and 411.71

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Solution

The fourth proportional to 1,105.20, 1,657.40 and 411.71 is: 617.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.20 : 1,657.40 = 411.71 : x
  2. Step 2: Convert to fraction form
    1,105.20/1,657.40 = 411.71/x
  3. Step 3: Cross multiply
    1,105.20x = 1,657.40 × 411.71
  4. Step 4: Simplify right side
    1,105.20x = 682,357.81
  5. Step 5: Solve for x
    x = 682,357.81/1,105.20
  6. Step 6: Final answer
    x = 617.41

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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.