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Finding the Fourth Proportional to 525.99, 725.58 and 329.43

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Solution

The fourth proportional to 525.99, 725.58 and 329.43 is: 454.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.99 : 725.58 = 329.43 : x
  2. Step 2: Convert to fraction form
    525.99/725.58 = 329.43/x
  3. Step 3: Cross multiply
    525.99x = 725.58 × 329.43
  4. Step 4: Simplify right side
    525.99x = 239,027.82
  5. Step 5: Solve for x
    x = 239,027.82/525.99
  6. Step 6: Final answer
    x = 454.43

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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.