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Finding the Fourth Proportional to 523.83, 786.15 and 280.56

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Solution

The fourth proportional to 523.83, 786.15 and 280.56 is: 421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.83 : 786.15 = 280.56 : x
  2. Step 2: Convert to fraction form
    523.83/786.15 = 280.56/x
  3. Step 3: Cross multiply
    523.83x = 786.15 × 280.56
  4. Step 4: Simplify right side
    523.83x = 220,562.24
  5. Step 5: Solve for x
    x = 220,562.24/523.83
  6. Step 6: Final answer
    x = 421.06

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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.