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Finding the Fourth Proportional to 513.14, 773.55 and 477.90

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Solution

The fourth proportional to 513.14, 773.55 and 477.90 is: 720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.14 : 773.55 = 477.90 : x
  2. Step 2: Convert to fraction form
    513.14/773.55 = 477.90/x
  3. Step 3: Cross multiply
    513.14x = 773.55 × 477.90
  4. Step 4: Simplify right side
    513.14x = 369,679.55
  5. Step 5: Solve for x
    x = 369,679.55/513.14
  6. Step 6: Final answer
    x = 720.43

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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.