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Finding the Fourth Proportional to 525.96, 789.12 and 282.78

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Solution

The fourth proportional to 525.96, 789.12 and 282.78 is: 424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.96 : 789.12 = 282.78 : x
  2. Step 2: Convert to fraction form
    525.96/789.12 = 282.78/x
  3. Step 3: Cross multiply
    525.96x = 789.12 × 282.78
  4. Step 4: Simplify right side
    525.96x = 223,147.35
  5. Step 5: Solve for x
    x = 223,147.35/525.96
  6. Step 6: Final answer
    x = 424.27

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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.