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Finding the Fourth Proportional to 527.10, 789.54 and 343.68

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Solution

The fourth proportional to 527.10, 789.54 and 343.68 is: 514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.10 : 789.54 = 343.68 : x
  2. Step 2: Convert to fraction form
    527.10/789.54 = 343.68/x
  3. Step 3: Cross multiply
    527.10x = 789.54 × 343.68
  4. Step 4: Simplify right side
    527.10x = 271,349.11
  5. Step 5: Solve for x
    x = 271,349.11/527.10
  6. Step 6: Final answer
    x = 514.80

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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.