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Finding the Fourth Proportional to 513.66, 768.80 and 464.43

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Solution

The fourth proportional to 513.66, 768.80 and 464.43 is: 695.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.66 : 768.80 = 464.43 : x
  2. Step 2: Convert to fraction form
    513.66/768.80 = 464.43/x
  3. Step 3: Cross multiply
    513.66x = 768.80 × 464.43
  4. Step 4: Simplify right side
    513.66x = 357,047.62
  5. Step 5: Solve for x
    x = 357,047.62/513.66
  6. Step 6: Final answer
    x = 695.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.