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Finding the Fourth Proportional to 520.82, 723.55 and 516.06

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Solution

The fourth proportional to 520.82, 723.55 and 516.06 is: 716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.82 : 723.55 = 516.06 : x
  2. Step 2: Convert to fraction form
    520.82/723.55 = 516.06/x
  3. Step 3: Cross multiply
    520.82x = 723.55 × 516.06
  4. Step 4: Simplify right side
    520.82x = 373,395.21
  5. Step 5: Solve for x
    x = 373,395.21/520.82
  6. Step 6: Final answer
    x = 716.94

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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.