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Finding the Fourth Proportional to 705.66, 1,057.80 and 272.48

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Solution

The fourth proportional to 705.66, 1,057.80 and 272.48 is: 408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.66 : 1,057.80 = 272.48 : x
  2. Step 2: Convert to fraction form
    705.66/1,057.80 = 272.48/x
  3. Step 3: Cross multiply
    705.66x = 1,057.80 × 272.48
  4. Step 4: Simplify right side
    705.66x = 288,229.34
  5. Step 5: Solve for x
    x = 288,229.34/705.66
  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.