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Finding the Fourth Proportional to 518, 715.44 and 378.74

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Solution

The fourth proportional to 518, 715.44 and 378.74 is: 523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    518 : 715.44 = 378.74 : x
  2. Step 2: Convert to fraction form
    518/715.44 = 378.74/x
  3. Step 3: Cross multiply
    518x = 715.44 × 378.74
  4. Step 4: Simplify right side
    518x = 270,965.75
  5. Step 5: Solve for x
    x = 270,965.75/518
  6. Step 6: Final answer
    x = 523.10

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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.