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Finding the Fourth Proportional to 849.57, 1,269.82 and 738.99

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Solution

The fourth proportional to 849.57, 1,269.82 and 738.99 is: 1,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.57 : 1,269.82 = 738.99 : x
  2. Step 2: Convert to fraction form
    849.57/1,269.82 = 738.99/x
  3. Step 3: Cross multiply
    849.57x = 1,269.82 × 738.99
  4. Step 4: Simplify right side
    849.57x = 938,384.28
  5. Step 5: Solve for x
    x = 938,384.28/849.57
  6. Step 6: Final answer
    x = 1,104.54

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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.