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Finding the Fourth Proportional to 527.97, 792.50 and 284.37

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Solution

The fourth proportional to 527.97, 792.50 and 284.37 is: 426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.97 : 792.50 = 284.37 : x
  2. Step 2: Convert to fraction form
    527.97/792.50 = 284.37/x
  3. Step 3: Cross multiply
    527.97x = 792.50 × 284.37
  4. Step 4: Simplify right side
    527.97x = 225,361.80
  5. Step 5: Solve for x
    x = 225,361.80/527.97
  6. Step 6: Final answer
    x = 426.85

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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.