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Finding the Fourth Proportional to 529.22, 725.49 and 520.71

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Solution

The fourth proportional to 529.22, 725.49 and 520.71 is: 713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.22 : 725.49 = 520.71 : x
  2. Step 2: Convert to fraction form
    529.22/725.49 = 520.71/x
  3. Step 3: Cross multiply
    529.22x = 725.49 × 520.71
  4. Step 4: Simplify right side
    529.22x = 377,769.90
  5. Step 5: Solve for x
    x = 377,769.90/529.22
  6. Step 6: Final answer
    x = 713.83

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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.