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Finding the Fourth Proportional to 516.73, 778.18 and 468.53

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Solution

The fourth proportional to 516.73, 778.18 and 468.53 is: 705.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.73 : 778.18 = 468.53 : x
  2. Step 2: Convert to fraction form
    516.73/778.18 = 468.53/x
  3. Step 3: Cross multiply
    516.73x = 778.18 × 468.53
  4. Step 4: Simplify right side
    516.73x = 364,600.68
  5. Step 5: Solve for x
    x = 364,600.68/516.73
  6. Step 6: Final answer
    x = 705.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.