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Finding the Fourth Proportional to 705, 1,057.50 and 272.19

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Solution

The fourth proportional to 705, 1,057.50 and 272.19 is: 408.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    705 : 1,057.50 = 272.19 : x
  2. Step 2: Convert to fraction form
    705/1,057.50 = 272.19/x
  3. Step 3: Cross multiply
    705x = 1,057.50 × 272.19
  4. Step 4: Simplify right side
    705x = 287,840.93
  5. Step 5: Solve for x
    x = 287,840.93/705
  6. Step 6: Final answer
    x = 408.29

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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.