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Finding the Fourth Proportional to 705.76, 1,057.44 and 380.80

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Solution

The fourth proportional to 705.76, 1,057.44 and 380.80 is: 570.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.76 : 1,057.44 = 380.80 : x
  2. Step 2: Convert to fraction form
    705.76/1,057.44 = 380.80/x
  3. Step 3: Cross multiply
    705.76x = 1,057.44 × 380.80
  4. Step 4: Simplify right side
    705.76x = 402,673.15
  5. Step 5: Solve for x
    x = 402,673.15/705.76
  6. Step 6: Final answer
    x = 570.55

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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.