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Finding the Fourth Proportional to 849.20, 1,171.41 and 612.89

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Solution

The fourth proportional to 849.20, 1,171.41 and 612.89 is: 845.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.20 : 1,171.41 = 612.89 : x
  2. Step 2: Convert to fraction form
    849.20/1,171.41 = 612.89/x
  3. Step 3: Cross multiply
    849.20x = 1,171.41 × 612.89
  4. Step 4: Simplify right side
    849.20x = 717,939.62
  5. Step 5: Solve for x
    x = 717,939.62/849.20
  6. Step 6: Final answer
    x = 845.43

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1.5x scale

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.