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Finding the Fourth Proportional to 525.74, 725.75 and 329.21

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Solution

The fourth proportional to 525.74, 725.75 and 329.21 is: 454.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.74 : 725.75 = 329.21 : x
  2. Step 2: Convert to fraction form
    525.74/725.75 = 329.21/x
  3. Step 3: Cross multiply
    525.74x = 725.75 × 329.21
  4. Step 4: Simplify right side
    525.74x = 238,922.51
  5. Step 5: Solve for x
    x = 238,922.51/525.74
  6. Step 6: Final answer
    x = 454.45

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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.