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Finding the Fourth Proportional to 525.62, 725.09 and 351.22

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Solution

The fourth proportional to 525.62, 725.09 and 351.22 is: 484.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.62 : 725.09 = 351.22 : x
  2. Step 2: Convert to fraction form
    525.62/725.09 = 351.22/x
  3. Step 3: Cross multiply
    525.62x = 725.09 × 351.22
  4. Step 4: Simplify right side
    525.62x = 254,666.11
  5. Step 5: Solve for x
    x = 254,666.11/525.62
  6. Step 6: Final answer
    x = 484.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.