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Finding the Fourth Proportional to 513, 764.16 and 489.72

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Solution

The fourth proportional to 513, 764.16 and 489.72 is: 729.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    513 : 764.16 = 489.72 : x
  2. Step 2: Convert to fraction form
    513/764.16 = 489.72/x
  3. Step 3: Cross multiply
    513x = 764.16 × 489.72
  4. Step 4: Simplify right side
    513x = 374,224.44
  5. Step 5: Solve for x
    x = 374,224.44/513
  6. Step 6: Final answer
    x = 729.48

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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.