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Finding the Fourth Proportional to 525.62, 791.32 and 382.34

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Solution

The fourth proportional to 525.62, 791.32 and 382.34 is: 575.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.62 : 791.32 = 382.34 : x
  2. Step 2: Convert to fraction form
    525.62/791.32 = 382.34/x
  3. Step 3: Cross multiply
    525.62x = 791.32 × 382.34
  4. Step 4: Simplify right side
    525.62x = 302,551.38
  5. Step 5: Solve for x
    x = 302,551.38/525.62
  6. Step 6: Final answer
    x = 575.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.