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Finding the Fourth Proportional to 705.49, 1,057.42 and 380.18

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Solution

The fourth proportional to 705.49, 1,057.42 and 380.18 is: 569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.49 : 1,057.42 = 380.18 : x
  2. Step 2: Convert to fraction form
    705.49/1,057.42 = 380.18/x
  3. Step 3: Cross multiply
    705.49x = 1,057.42 × 380.18
  4. Step 4: Simplify right side
    705.49x = 402,002.75
  5. Step 5: Solve for x
    x = 402,002.75/705.49
  6. Step 6: Final answer
    x = 569.82

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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.