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Finding the Fourth Proportional to 1,105.62, 1,657.35 and 941.46

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Solution

The fourth proportional to 1,105.62, 1,657.35 and 941.46 is: 1,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.62 : 1,657.35 = 941.46 : x
  2. Step 2: Convert to fraction form
    1,105.62/1,657.35 = 941.46/x
  3. Step 3: Cross multiply
    1,105.62x = 1,657.35 × 941.46
  4. Step 4: Simplify right side
    1,105.62x = 1,560,328.73
  5. Step 5: Solve for x
    x = 1,560,328.73/1,105.62
  6. Step 6: Final answer
    x = 1,411.27

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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.