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Finding the Fourth Proportional to 849.46, 1,171.50 and 613.34

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Solution

The fourth proportional to 849.46, 1,171.50 and 613.34 is: 845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.46 : 1,171.50 = 613.34 : x
  2. Step 2: Convert to fraction form
    849.46/1,171.50 = 613.34/x
  3. Step 3: Cross multiply
    849.46x = 1,171.50 × 613.34
  4. Step 4: Simplify right side
    849.46x = 718,527.81
  5. Step 5: Solve for x
    x = 718,527.81/849.46
  6. Step 6: Final answer
    x = 845.87

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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.