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Finding the Fourth Proportional to 1,110.43, 1,665.83 and 340.75

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Solution

The fourth proportional to 1,110.43, 1,665.83 and 340.75 is: 511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.43 : 1,665.83 = 340.75 : x
  2. Step 2: Convert to fraction form
    1,110.43/1,665.83 = 340.75/x
  3. Step 3: Cross multiply
    1,110.43x = 1,665.83 × 340.75
  4. Step 4: Simplify right side
    1,110.43x = 567,631.57
  5. Step 5: Solve for x
    x = 567,631.57/1,110.43
  6. Step 6: Final answer
    x = 511.18

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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.