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Finding the Fourth Proportional to 518.75, 715.32 and 393

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Solution

The fourth proportional to 518.75, 715.32 and 393 is: 541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.75 : 715.32 = 393 : x
  2. Step 2: Convert to fraction form
    518.75/715.32 = 393/x
  3. Step 3: Cross multiply
    518.75x = 715.32 × 393
  4. Step 4: Simplify right side
    518.75x = 281,120.76
  5. Step 5: Solve for x
    x = 281,120.76/518.75
  6. Step 6: Final answer
    x = 541.92

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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.