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Finding the Fourth Proportional to 1,665.08, 2,497.62 and 677.91

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Solution

The fourth proportional to 1,665.08, 2,497.62 and 677.91 is: 1,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.08 : 2,497.62 = 677.91 : x
  2. Step 2: Convert to fraction form
    1,665.08/2,497.62 = 677.91/x
  3. Step 3: Cross multiply
    1,665.08x = 2,497.62 × 677.91
  4. Step 4: Simplify right side
    1,665.08x = 1,693,161.57
  5. Step 5: Solve for x
    x = 1,693,161.57/1,665.08
  6. Step 6: Final answer
    x = 1,016.87

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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.