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Finding the Fourth Proportional to 705.27, 1,057.41 and 380.85

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Solution

The fourth proportional to 705.27, 1,057.41 and 380.85 is: 571.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.27 : 1,057.41 = 380.85 : x
  2. Step 2: Convert to fraction form
    705.27/1,057.41 = 380.85/x
  3. Step 3: Cross multiply
    705.27x = 1,057.41 × 380.85
  4. Step 4: Simplify right side
    705.27x = 402,714.60
  5. Step 5: Solve for x
    x = 402,714.60/705.27
  6. Step 6: Final answer
    x = 571.01

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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.