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Finding the Fourth Proportional to 705.72, 1,058.43 and 266.96

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Solution

The fourth proportional to 705.72, 1,058.43 and 266.96 is: 400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.72 : 1,058.43 = 266.96 : x
  2. Step 2: Convert to fraction form
    705.72/1,058.43 = 266.96/x
  3. Step 3: Cross multiply
    705.72x = 1,058.43 × 266.96
  4. Step 4: Simplify right side
    705.72x = 282,562.12
  5. Step 5: Solve for x
    x = 282,562.12/705.72
  6. Step 6: Final answer
    x = 400.39

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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.