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Finding the Fourth Proportional to 518.11, 777.02 and 286.96

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Solution

The fourth proportional to 518.11, 777.02 and 286.96 is: 430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.11 : 777.02 = 286.96 : x
  2. Step 2: Convert to fraction form
    518.11/777.02 = 286.96/x
  3. Step 3: Cross multiply
    518.11x = 777.02 × 286.96
  4. Step 4: Simplify right side
    518.11x = 222,972.22
  5. Step 5: Solve for x
    x = 222,972.22/518.11
  6. Step 6: Final answer
    x = 430.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.