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Finding the Fourth Proportional to 705.40, 1,057.94 and 218.33

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Solution

The fourth proportional to 705.40, 1,057.94 and 218.33 is: 327.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.40 : 1,057.94 = 218.33 : x
  2. Step 2: Convert to fraction form
    705.40/1,057.94 = 218.33/x
  3. Step 3: Cross multiply
    705.40x = 1,057.94 × 218.33
  4. Step 4: Simplify right side
    705.40x = 230,980.04
  5. Step 5: Solve for x
    x = 230,980.04/705.40
  6. Step 6: Final answer
    x = 327.45

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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.