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Finding the Fourth Proportional to 513.21, 768.98 and 494.01

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Solution

The fourth proportional to 513.21, 768.98 and 494.01 is: 740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.21 : 768.98 = 494.01 : x
  2. Step 2: Convert to fraction form
    513.21/768.98 = 494.01/x
  3. Step 3: Cross multiply
    513.21x = 768.98 × 494.01
  4. Step 4: Simplify right side
    513.21x = 379,883.81
  5. Step 5: Solve for x
    x = 379,883.81/513.21
  6. Step 6: Final answer
    x = 740.21

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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.