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Finding the Fourth Proportional to 705.25, 1,057.06 and 379.95

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Solution

The fourth proportional to 705.25, 1,057.06 and 379.95 is: 569.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.25 : 1,057.06 = 379.95 : x
  2. Step 2: Convert to fraction form
    705.25/1,057.06 = 379.95/x
  3. Step 3: Cross multiply
    705.25x = 1,057.06 × 379.95
  4. Step 4: Simplify right side
    705.25x = 401,629.95
  5. Step 5: Solve for x
    x = 401,629.95/705.25
  6. Step 6: Final answer
    x = 569.49

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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.