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Finding the Fourth Proportional to 523.99, 786.26 and 280.50

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Solution

The fourth proportional to 523.99, 786.26 and 280.50 is: 420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.99 : 786.26 = 280.50 : x
  2. Step 2: Convert to fraction form
    523.99/786.26 = 280.50/x
  3. Step 3: Cross multiply
    523.99x = 786.26 × 280.50
  4. Step 4: Simplify right side
    523.99x = 220,545.93
  5. Step 5: Solve for x
    x = 220,545.93/523.99
  6. Step 6: Final answer
    x = 420.90

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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.