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Finding the Fourth Proportional to 518.34, 776.18 and 286.97

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Solution

The fourth proportional to 518.34, 776.18 and 286.97 is: 429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.34 : 776.18 = 286.97 : x
  2. Step 2: Convert to fraction form
    518.34/776.18 = 286.97/x
  3. Step 3: Cross multiply
    518.34x = 776.18 × 286.97
  4. Step 4: Simplify right side
    518.34x = 222,741.58
  5. Step 5: Solve for x
    x = 222,741.58/518.34
  6. Step 6: Final answer
    x = 429.72

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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.