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Finding the Fourth Proportional to 527.42, 789.75 and 344.30

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Solution

The fourth proportional to 527.42, 789.75 and 344.30 is: 515.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.42 : 789.75 = 344.30 : x
  2. Step 2: Convert to fraction form
    527.42/789.75 = 344.30/x
  3. Step 3: Cross multiply
    527.42x = 789.75 × 344.30
  4. Step 4: Simplify right side
    527.42x = 271,910.93
  5. Step 5: Solve for x
    x = 271,910.93/527.42
  6. Step 6: Final answer
    x = 515.55

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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.