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Finding the Fourth Proportional to 705.77, 1,058.19 and 272.42

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Solution

The fourth proportional to 705.77, 1,058.19 and 272.42 is: 408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.77 : 1,058.19 = 272.42 : x
  2. Step 2: Convert to fraction form
    705.77/1,058.19 = 272.42/x
  3. Step 3: Cross multiply
    705.77x = 1,058.19 × 272.42
  4. Step 4: Simplify right side
    705.77x = 288,273.74
  5. Step 5: Solve for x
    x = 288,273.74/705.77
  6. Step 6: Final answer
    x = 408.45

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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.