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Finding the Fourth Proportional to 524.84, 786.34 and 280.93

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Solution

The fourth proportional to 524.84, 786.34 and 280.93 is: 420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.84 : 786.34 = 280.93 : x
  2. Step 2: Convert to fraction form
    524.84/786.34 = 280.93/x
  3. Step 3: Cross multiply
    524.84x = 786.34 × 280.93
  4. Step 4: Simplify right side
    524.84x = 220,902.56
  5. Step 5: Solve for x
    x = 220,902.56/524.84
  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.