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Finding the Fourth Proportional to 525.67, 789.11 and 282.67

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Solution

The fourth proportional to 525.67, 789.11 and 282.67 is: 424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.67 : 789.11 = 282.67 : x
  2. Step 2: Convert to fraction form
    525.67/789.11 = 282.67/x
  3. Step 3: Cross multiply
    525.67x = 789.11 × 282.67
  4. Step 4: Simplify right side
    525.67x = 223,057.72
  5. Step 5: Solve for x
    x = 223,057.72/525.67
  6. Step 6: Final answer
    x = 424.33

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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.