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Finding the Fourth Proportional to 513.98, 768.65 and 456.56

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Solution

The fourth proportional to 513.98, 768.65 and 456.56 is: 682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.98 : 768.65 = 456.56 : x
  2. Step 2: Convert to fraction form
    513.98/768.65 = 456.56/x
  3. Step 3: Cross multiply
    513.98x = 768.65 × 456.56
  4. Step 4: Simplify right side
    513.98x = 350,931.00
  5. Step 5: Solve for x
    x = 350,931.00/513.98
  6. Step 6: Final answer
    x = 682.78

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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.