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Finding the Fourth Proportional to 612.96, 919.44 and 516.57

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Solution

The fourth proportional to 612.96, 919.44 and 516.57 is: 774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.96 : 919.44 = 516.57 : x
  2. Step 2: Convert to fraction form
    612.96/919.44 = 516.57/x
  3. Step 3: Cross multiply
    612.96x = 919.44 × 516.57
  4. Step 4: Simplify right side
    612.96x = 474,955.12
  5. Step 5: Solve for x
    x = 474,955.12/612.96
  6. Step 6: Final answer
    x = 774.86

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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.