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Finding the Fourth Proportional to 849.69, 1,172.21 and 495.50

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Solution

The fourth proportional to 849.69, 1,172.21 and 495.50 is: 683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.69 : 1,172.21 = 495.50 : x
  2. Step 2: Convert to fraction form
    849.69/1,172.21 = 495.50/x
  3. Step 3: Cross multiply
    849.69x = 1,172.21 × 495.50
  4. Step 4: Simplify right side
    849.69x = 580,821.72
  5. Step 5: Solve for x
    x = 580,821.72/849.69
  6. Step 6: Final answer
    x = 683.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.