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Finding the Fourth Proportional to 513.25, 764.80 and 496.69

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Solution

The fourth proportional to 513.25, 764.80 and 496.69 is: 740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.25 : 764.80 = 496.69 : x
  2. Step 2: Convert to fraction form
    513.25/764.80 = 496.69/x
  3. Step 3: Cross multiply
    513.25x = 764.80 × 496.69
  4. Step 4: Simplify right side
    513.25x = 379,868.51
  5. Step 5: Solve for x
    x = 379,868.51/513.25
  6. Step 6: Final answer
    x = 740.12

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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.