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Finding the Fourth Proportional to 519.53, 776.43 and 489.56

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Solution

The fourth proportional to 519.53, 776.43 and 489.56 is: 731.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.53 : 776.43 = 489.56 : x
  2. Step 2: Convert to fraction form
    519.53/776.43 = 489.56/x
  3. Step 3: Cross multiply
    519.53x = 776.43 × 489.56
  4. Step 4: Simplify right side
    519.53x = 380,105.19
  5. Step 5: Solve for x
    x = 380,105.19/519.53
  6. Step 6: Final answer
    x = 731.64

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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.