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Finding the Fourth Proportional to 858.97, 1,288.46 and 516.25

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Solution

The fourth proportional to 858.97, 1,288.46 and 516.25 is: 774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.97 : 1,288.46 = 516.25 : x
  2. Step 2: Convert to fraction form
    858.97/1,288.46 = 516.25/x
  3. Step 3: Cross multiply
    858.97x = 1,288.46 × 516.25
  4. Step 4: Simplify right side
    858.97x = 665,167.48
  5. Step 5: Solve for x
    x = 665,167.48/858.97
  6. Step 6: Final answer
    x = 774.38

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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.