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Finding the Fourth Proportional to 513.20, 764.47 and 485.26

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Solution

The fourth proportional to 513.20, 764.47 and 485.26 is: 722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.20 : 764.47 = 485.26 : x
  2. Step 2: Convert to fraction form
    513.20/764.47 = 485.26/x
  3. Step 3: Cross multiply
    513.20x = 764.47 × 485.26
  4. Step 4: Simplify right side
    513.20x = 370,965.41
  5. Step 5: Solve for x
    x = 370,965.41/513.20
  6. Step 6: Final answer
    x = 722.84

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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.