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Finding the Fourth Proportional to 705.73, 1,057.38 and 380.92

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Solution

The fourth proportional to 705.73, 1,057.38 and 380.92 is: 570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.73 : 1,057.38 = 380.92 : x
  2. Step 2: Convert to fraction form
    705.73/1,057.38 = 380.92/x
  3. Step 3: Cross multiply
    705.73x = 1,057.38 × 380.92
  4. Step 4: Simplify right side
    705.73x = 402,777.19
  5. Step 5: Solve for x
    x = 402,777.19/705.73
  6. Step 6: Final answer
    x = 570.72

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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.