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Finding the Fourth Proportional to 849.21, 1,171.15 and 613.09

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Solution

The fourth proportional to 849.21, 1,171.15 and 613.09 is: 845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.21 : 1,171.15 = 613.09 : x
  2. Step 2: Convert to fraction form
    849.21/1,171.15 = 613.09/x
  3. Step 3: Cross multiply
    849.21x = 1,171.15 × 613.09
  4. Step 4: Simplify right side
    849.21x = 718,020.35
  5. Step 5: Solve for x
    x = 718,020.35/849.21
  6. Step 6: Final answer
    x = 845.52

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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.