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Finding the Fourth Proportional to 536.45, 800.15 and 489.29

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Solution

The fourth proportional to 536.45, 800.15 and 489.29 is: 729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.45 : 800.15 = 489.29 : x
  2. Step 2: Convert to fraction form
    536.45/800.15 = 489.29/x
  3. Step 3: Cross multiply
    536.45x = 800.15 × 489.29
  4. Step 4: Simplify right side
    536.45x = 391,505.39
  5. Step 5: Solve for x
    x = 391,505.39/536.45
  6. Step 6: Final answer
    x = 729.81

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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.