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Finding the Fourth Proportional to 518.96, 716.17 and 297.91

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Solution

The fourth proportional to 518.96, 716.17 and 297.91 is: 411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.96 : 716.17 = 297.91 : x
  2. Step 2: Convert to fraction form
    518.96/716.17 = 297.91/x
  3. Step 3: Cross multiply
    518.96x = 716.17 × 297.91
  4. Step 4: Simplify right side
    518.96x = 213,351.67
  5. Step 5: Solve for x
    x = 213,351.67/518.96
  6. Step 6: Final answer
    x = 411.11

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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.