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Finding the Fourth Proportional to 527.03, 789.38 and 279.48

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Solution

The fourth proportional to 527.03, 789.38 and 279.48 is: 418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.03 : 789.38 = 279.48 : x
  2. Step 2: Convert to fraction form
    527.03/789.38 = 279.48/x
  3. Step 3: Cross multiply
    527.03x = 789.38 × 279.48
  4. Step 4: Simplify right side
    527.03x = 220,614.53
  5. Step 5: Solve for x
    x = 220,614.53/527.03
  6. Step 6: Final answer
    x = 418.60

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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.