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Finding the Fourth Proportional to 1,108.66, 1,661.46 and 458.68

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Solution

The fourth proportional to 1,108.66, 1,661.46 and 458.68 is: 687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.66 : 1,661.46 = 458.68 : x
  2. Step 2: Convert to fraction form
    1,108.66/1,661.46 = 458.68/x
  3. Step 3: Cross multiply
    1,108.66x = 1,661.46 × 458.68
  4. Step 4: Simplify right side
    1,108.66x = 762,078.47
  5. Step 5: Solve for x
    x = 762,078.47/1,108.66
  6. Step 6: Final answer
    x = 687.39

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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.