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Finding the Fourth Proportional to 844.77, 1,269.29 and 536.77

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Solution

The fourth proportional to 844.77, 1,269.29 and 536.77 is: 806.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.77 : 1,269.29 = 536.77 : x
  2. Step 2: Convert to fraction form
    844.77/1,269.29 = 536.77/x
  3. Step 3: Cross multiply
    844.77x = 1,269.29 × 536.77
  4. Step 4: Simplify right side
    844.77x = 681,316.79
  5. Step 5: Solve for x
    x = 681,316.79/844.77
  6. Step 6: Final answer
    x = 806.51

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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.