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Finding the Fourth Proportional to 525.82, 725.16 and 329.35

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Solution

The fourth proportional to 525.82, 725.16 and 329.35 is: 454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.82 : 725.16 = 329.35 : x
  2. Step 2: Convert to fraction form
    525.82/725.16 = 329.35/x
  3. Step 3: Cross multiply
    525.82x = 725.16 × 329.35
  4. Step 4: Simplify right side
    525.82x = 238,831.45
  5. Step 5: Solve for x
    x = 238,831.45/525.82
  6. Step 6: Final answer
    x = 454.21

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