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Finding the Fourth Proportional to 849.52, 1,172.61 and 495.61

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Solution

The fourth proportional to 849.52, 1,172.61 and 495.61 is: 684.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.52 : 1,172.61 = 495.61 : x
  2. Step 2: Convert to fraction form
    849.52/1,172.61 = 495.61/x
  3. Step 3: Cross multiply
    849.52x = 1,172.61 × 495.61
  4. Step 4: Simplify right side
    849.52x = 581,157.24
  5. Step 5: Solve for x
    x = 581,157.24/849.52
  6. Step 6: Final answer
    x = 684.10

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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.