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Finding the Fourth Proportional to 2,679.80, 4,019.70 and 705.43

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Solution

The fourth proportional to 2,679.80, 4,019.70 and 705.43 is: 1,058.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.80 : 4,019.70 = 705.43 : x
  2. Step 2: Convert to fraction form
    2,679.80/4,019.70 = 705.43/x
  3. Step 3: Cross multiply
    2,679.80x = 4,019.70 × 705.43
  4. Step 4: Simplify right side
    2,679.80x = 2,835,616.97
  5. Step 5: Solve for x
    x = 2,835,616.97/2,679.80
  6. Step 6: Final answer
    x = 1,058.15

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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.