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Finding the Fourth Proportional to 520.56, 713.22 and 513.72

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Solution

The fourth proportional to 520.56, 713.22 and 513.72 is: 703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.56 : 713.22 = 513.72 : x
  2. Step 2: Convert to fraction form
    520.56/713.22 = 513.72/x
  3. Step 3: Cross multiply
    520.56x = 713.22 × 513.72
  4. Step 4: Simplify right side
    520.56x = 366,395.38
  5. Step 5: Solve for x
    x = 366,395.38/520.56
  6. Step 6: Final answer
    x = 703.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.