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Finding the Fourth Proportional to 518.11, 715 and 285.23

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Solution

The fourth proportional to 518.11, 715 and 285.23 is: 393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.11 : 715 = 285.23 : x
  2. Step 2: Convert to fraction form
    518.11/715 = 285.23/x
  3. Step 3: Cross multiply
    518.11x = 715 × 285.23
  4. Step 4: Simplify right side
    518.11x = 203,939.45
  5. Step 5: Solve for x
    x = 203,939.45/518.11
  6. Step 6: Final answer
    x = 393.62

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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.