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Finding the Fourth Proportional to 518.93, 715.81 and 379.21

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Solution

The fourth proportional to 518.93, 715.81 and 379.21 is: 523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.93 : 715.81 = 379.21 : x
  2. Step 2: Convert to fraction form
    518.93/715.81 = 379.21/x
  3. Step 3: Cross multiply
    518.93x = 715.81 × 379.21
  4. Step 4: Simplify right side
    518.93x = 271,442.31
  5. Step 5: Solve for x
    x = 271,442.31/518.93
  6. Step 6: Final answer
    x = 523.08

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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.