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Finding the Fourth Proportional to 527.80, 792.18 and 284.50

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Solution

The fourth proportional to 527.80, 792.18 and 284.50 is: 427.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.80 : 792.18 = 284.50 : x
  2. Step 2: Convert to fraction form
    527.80/792.18 = 284.50/x
  3. Step 3: Cross multiply
    527.80x = 792.18 × 284.50
  4. Step 4: Simplify right side
    527.80x = 225,375.21
  5. Step 5: Solve for x
    x = 225,375.21/527.80
  6. Step 6: Final answer
    x = 427.01

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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.