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Finding the Fourth Proportional to 513.62, 766.73 and 477.17

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Solution

The fourth proportional to 513.62, 766.73 and 477.17 is: 712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.62 : 766.73 = 477.17 : x
  2. Step 2: Convert to fraction form
    513.62/766.73 = 477.17/x
  3. Step 3: Cross multiply
    513.62x = 766.73 × 477.17
  4. Step 4: Simplify right side
    513.62x = 365,860.55
  5. Step 5: Solve for x
    x = 365,860.55/513.62
  6. Step 6: Final answer
    x = 712.32

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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.