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Finding the Fourth Proportional to 513.82, 766.77 and 459.14

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Solution

The fourth proportional to 513.82, 766.77 and 459.14 is: 685.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.82 : 766.77 = 459.14 : x
  2. Step 2: Convert to fraction form
    513.82/766.77 = 459.14/x
  3. Step 3: Cross multiply
    513.82x = 766.77 × 459.14
  4. Step 4: Simplify right side
    513.82x = 352,054.78
  5. Step 5: Solve for x
    x = 352,054.78/513.82
  6. Step 6: Final answer
    x = 685.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.