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Finding the Fourth Proportional to 511.18, 705.77 and 378.43

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Solution

The fourth proportional to 511.18, 705.77 and 378.43 is: 522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.18 : 705.77 = 378.43 : x
  2. Step 2: Convert to fraction form
    511.18/705.77 = 378.43/x
  3. Step 3: Cross multiply
    511.18x = 705.77 × 378.43
  4. Step 4: Simplify right side
    511.18x = 267,084.54
  5. Step 5: Solve for x
    x = 267,084.54/511.18
  6. Step 6: Final answer
    x = 522.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.