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Finding the Fourth Proportional to 1,108.05, 1,661.66 and 458.70

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Solution

The fourth proportional to 1,108.05, 1,661.66 and 458.70 is: 687.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.05 : 1,661.66 = 458.70 : x
  2. Step 2: Convert to fraction form
    1,108.05/1,661.66 = 458.70/x
  3. Step 3: Cross multiply
    1,108.05x = 1,661.66 × 458.70
  4. Step 4: Simplify right side
    1,108.05x = 762,201.15
  5. Step 5: Solve for x
    x = 762,201.15/1,108.05
  6. Step 6: Final answer
    x = 687.88

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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.