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Finding the Fourth Proportional to 524.82, 786.66 and 280.74

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Solution

The fourth proportional to 524.82, 786.66 and 280.74 is: 420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.82 : 786.66 = 280.74 : x
  2. Step 2: Convert to fraction form
    524.82/786.66 = 280.74/x
  3. Step 3: Cross multiply
    524.82x = 786.66 × 280.74
  4. Step 4: Simplify right side
    524.82x = 220,846.93
  5. Step 5: Solve for x
    x = 220,846.93/524.82
  6. Step 6: Final answer
    x = 420.81

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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.