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Finding the Fourth Proportional to 536.20, 799.78 and 489.04

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Solution

The fourth proportional to 536.20, 799.78 and 489.04 is: 729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.20 : 799.78 = 489.04 : x
  2. Step 2: Convert to fraction form
    536.20/799.78 = 489.04/x
  3. Step 3: Cross multiply
    536.20x = 799.78 × 489.04
  4. Step 4: Simplify right side
    536.20x = 391,124.41
  5. Step 5: Solve for x
    x = 391,124.41/536.20
  6. Step 6: Final answer
    x = 729.44

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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.