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Finding the Fourth Proportional to 705.33, 1,058.40 and 550.82

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Solution

The fourth proportional to 705.33, 1,058.40 and 550.82 is: 826.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.33 : 1,058.40 = 550.82 : x
  2. Step 2: Convert to fraction form
    705.33/1,058.40 = 550.82/x
  3. Step 3: Cross multiply
    705.33x = 1,058.40 × 550.82
  4. Step 4: Simplify right side
    705.33x = 582,993.23
  5. Step 5: Solve for x
    x = 582,993.23/705.33
  6. Step 6: Final answer
    x = 826.55

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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.