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Finding the Fourth Proportional to 1,110.83, 1,666.27 and 380.40

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Solution

The fourth proportional to 1,110.83, 1,666.27 and 380.40 is: 570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.83 : 1,666.27 = 380.40 : x
  2. Step 2: Convert to fraction form
    1,110.83/1,666.27 = 380.40/x
  3. Step 3: Cross multiply
    1,110.83x = 1,666.27 × 380.40
  4. Step 4: Simplify right side
    1,110.83x = 633,843.33
  5. Step 5: Solve for x
    x = 633,843.33/1,110.83
  6. Step 6: Final answer
    x = 570.61

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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.