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Finding the Fourth Proportional to 2,579.44, 3,869.31 and 705.61

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Solution

The fourth proportional to 2,579.44, 3,869.31 and 705.61 is: 1,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.44 : 3,869.31 = 705.61 : x
  2. Step 2: Convert to fraction form
    2,579.44/3,869.31 = 705.61/x
  3. Step 3: Cross multiply
    2,579.44x = 3,869.31 × 705.61
  4. Step 4: Simplify right side
    2,579.44x = 2,730,223.83
  5. Step 5: Solve for x
    x = 2,730,223.83/2,579.44
  6. Step 6: Final answer
    x = 1,058.46

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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.