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Finding the Fourth Proportional to 523.67, 786.11 and 280.67

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Solution

The fourth proportional to 523.67, 786.11 and 280.67 is: 421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.67 : 786.11 = 280.67 : x
  2. Step 2: Convert to fraction form
    523.67/786.11 = 280.67/x
  3. Step 3: Cross multiply
    523.67x = 786.11 × 280.67
  4. Step 4: Simplify right side
    523.67x = 220,632.16
  5. Step 5: Solve for x
    x = 220,632.16/523.67
  6. Step 6: Final answer
    x = 421.32

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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.