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Finding the Fourth Proportional to 512.88, 770.31 and 489.84

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Solution

The fourth proportional to 512.88, 770.31 and 489.84 is: 735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.88 : 770.31 = 489.84 : x
  2. Step 2: Convert to fraction form
    512.88/770.31 = 489.84/x
  3. Step 3: Cross multiply
    512.88x = 770.31 × 489.84
  4. Step 4: Simplify right side
    512.88x = 377,328.65
  5. Step 5: Solve for x
    x = 377,328.65/512.88
  6. Step 6: Final answer
    x = 735.71

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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.