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Finding the Fourth Proportional to 705.44, 1,058.26 and 243.28

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Solution

The fourth proportional to 705.44, 1,058.26 and 243.28 is: 364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.44 : 1,058.26 = 243.28 : x
  2. Step 2: Convert to fraction form
    705.44/1,058.26 = 243.28/x
  3. Step 3: Cross multiply
    705.44x = 1,058.26 × 243.28
  4. Step 4: Simplify right side
    705.44x = 257,453.49
  5. Step 5: Solve for x
    x = 257,453.49/705.44
  6. Step 6: Final answer
    x = 364.95

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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.