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Finding the Fourth Proportional to 527.87, 789.74 and 353.70

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Solution

The fourth proportional to 527.87, 789.74 and 353.70 is: 529.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.87 : 789.74 = 353.70 : x
  2. Step 2: Convert to fraction form
    527.87/789.74 = 353.70/x
  3. Step 3: Cross multiply
    527.87x = 789.74 × 353.70
  4. Step 4: Simplify right side
    527.87x = 279,329.27
  5. Step 5: Solve for x
    x = 279,329.27/527.87
  6. Step 6: Final answer
    x = 529.17

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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.