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Finding the Fourth Proportional to 518.95, 716.22 and 297.90

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Solution

The fourth proportional to 518.95, 716.22 and 297.90 is: 411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.95 : 716.22 = 297.90 : x
  2. Step 2: Convert to fraction form
    518.95/716.22 = 297.90/x
  3. Step 3: Cross multiply
    518.95x = 716.22 × 297.90
  4. Step 4: Simplify right side
    518.95x = 213,358.58
  5. Step 5: Solve for x
    x = 213,358.58/518.95
  6. Step 6: Final answer
    x = 411.13

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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.