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Finding the Fourth Proportional to 525.90, 725.94 and 329.46

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Solution

The fourth proportional to 525.90, 725.94 and 329.46 is: 454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.90 : 725.94 = 329.46 : x
  2. Step 2: Convert to fraction form
    525.90/725.94 = 329.46/x
  3. Step 3: Cross multiply
    525.90x = 725.94 × 329.46
  4. Step 4: Simplify right side
    525.90x = 239,168.19
  5. Step 5: Solve for x
    x = 239,168.19/525.90
  6. Step 6: Final answer
    x = 454.78

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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.