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Finding the Fourth Proportional to 525.57, 789.26 and 282.25

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Solution

The fourth proportional to 525.57, 789.26 and 282.25 is: 423.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.57 : 789.26 = 282.25 : x
  2. Step 2: Convert to fraction form
    525.57/789.26 = 282.25/x
  3. Step 3: Cross multiply
    525.57x = 789.26 × 282.25
  4. Step 4: Simplify right side
    525.57x = 222,768.64
  5. Step 5: Solve for x
    x = 222,768.64/525.57
  6. Step 6: Final answer
    x = 423.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.