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Finding the Fourth Proportional to 1,100.91, 1,651.06 and 442.78

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Solution

The fourth proportional to 1,100.91, 1,651.06 and 442.78 is: 664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.91 : 1,651.06 = 442.78 : x
  2. Step 2: Convert to fraction form
    1,100.91/1,651.06 = 442.78/x
  3. Step 3: Cross multiply
    1,100.91x = 1,651.06 × 442.78
  4. Step 4: Simplify right side
    1,100.91x = 731,056.35
  5. Step 5: Solve for x
    x = 731,056.35/1,100.91
  6. Step 6: Final answer
    x = 664.05

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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.