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Finding the Fourth Proportional to 935.38, 1,299.29 and 920.50

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Solution

The fourth proportional to 935.38, 1,299.29 and 920.50 is: 1,278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.38 : 1,299.29 = 920.50 : x
  2. Step 2: Convert to fraction form
    935.38/1,299.29 = 920.50/x
  3. Step 3: Cross multiply
    935.38x = 1,299.29 × 920.50
  4. Step 4: Simplify right side
    935.38x = 1,195,996.45
  5. Step 5: Solve for x
    x = 1,195,996.45/935.38
  6. Step 6: Final answer
    x = 1,278.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.