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Finding the Fourth Proportional to 1,679.54, 2,519.30 and 705.41

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Solution

The fourth proportional to 1,679.54, 2,519.30 and 705.41 is: 1,058.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.54 : 2,519.30 = 705.41 : x
  2. Step 2: Convert to fraction form
    1,679.54/2,519.30 = 705.41/x
  3. Step 3: Cross multiply
    1,679.54x = 2,519.30 × 705.41
  4. Step 4: Simplify right side
    1,679.54x = 1,777,138.03
  5. Step 5: Solve for x
    x = 1,777,138.03/1,679.54
  6. Step 6: Final answer
    x = 1,058.11

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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.