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Finding the Fourth Proportional to 1,698.91, 2,548.37 and 724.39

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Solution

The fourth proportional to 1,698.91, 2,548.37 and 724.39 is: 1,086.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.91 : 2,548.37 = 724.39 : x
  2. Step 2: Convert to fraction form
    1,698.91/2,548.37 = 724.39/x
  3. Step 3: Cross multiply
    1,698.91x = 2,548.37 × 724.39
  4. Step 4: Simplify right side
    1,698.91x = 1,846,013.74
  5. Step 5: Solve for x
    x = 1,846,013.74/1,698.91
  6. Step 6: Final answer
    x = 1,086.59

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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.