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Finding the Fourth Proportional to 518.67, 716.31 and 385.70

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Solution

The fourth proportional to 518.67, 716.31 and 385.70 is: 532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.67 : 716.31 = 385.70 : x
  2. Step 2: Convert to fraction form
    518.67/716.31 = 385.70/x
  3. Step 3: Cross multiply
    518.67x = 716.31 × 385.70
  4. Step 4: Simplify right side
    518.67x = 276,277.19
  5. Step 5: Solve for x
    x = 276,277.19/518.67
  6. Step 6: Final answer
    x = 532.66

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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.