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Finding the Fourth Proportional to 1,110.88, 1,665.17 and 380.06

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Solution

The fourth proportional to 1,110.88, 1,665.17 and 380.06 is: 569.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.88 : 1,665.17 = 380.06 : x
  2. Step 2: Convert to fraction form
    1,110.88/1,665.17 = 380.06/x
  3. Step 3: Cross multiply
    1,110.88x = 1,665.17 × 380.06
  4. Step 4: Simplify right side
    1,110.88x = 632,861.95
  5. Step 5: Solve for x
    x = 632,861.95/1,110.88
  6. Step 6: Final answer
    x = 569.69

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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.