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Finding the Fourth Proportional to 846.35, 1,268.16 and 516.92

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Solution

The fourth proportional to 846.35, 1,268.16 and 516.92 is: 774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.35 : 1,268.16 = 516.92 : x
  2. Step 2: Convert to fraction form
    846.35/1,268.16 = 516.92/x
  3. Step 3: Cross multiply
    846.35x = 1,268.16 × 516.92
  4. Step 4: Simplify right side
    846.35x = 655,537.27
  5. Step 5: Solve for x
    x = 655,537.27/846.35
  6. Step 6: Final answer
    x = 774.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.