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Finding the Fourth Proportional to 520.94, 723.72 and 516.18

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Solution

The fourth proportional to 520.94, 723.72 and 516.18 is: 717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.94 : 723.72 = 516.18 : x
  2. Step 2: Convert to fraction form
    520.94/723.72 = 516.18/x
  3. Step 3: Cross multiply
    520.94x = 723.72 × 516.18
  4. Step 4: Simplify right side
    520.94x = 373,574.44
  5. Step 5: Solve for x
    x = 373,574.44/520.94
  6. Step 6: Final answer
    x = 717.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.