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Finding the Fourth Proportional to 1,663.74, 2,479.01 and 1,589.22

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Solution

The fourth proportional to 1,663.74, 2,479.01 and 1,589.22 is: 2,367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.74 : 2,479.01 = 1,589.22 : x
  2. Step 2: Convert to fraction form
    1,663.74/2,479.01 = 1,589.22/x
  3. Step 3: Cross multiply
    1,663.74x = 2,479.01 × 1,589.22
  4. Step 4: Simplify right side
    1,663.74x = 3,939,684.33
  5. Step 5: Solve for x
    x = 3,939,684.33/1,663.74
  6. Step 6: Final answer
    x = 2,367.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.