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Finding the Fourth Proportional to 939.53, 1,289.60 and 899.43

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Solution

The fourth proportional to 939.53, 1,289.60 and 899.43 is: 1,234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.53 : 1,289.60 = 899.43 : x
  2. Step 2: Convert to fraction form
    939.53/1,289.60 = 899.43/x
  3. Step 3: Cross multiply
    939.53x = 1,289.60 × 899.43
  4. Step 4: Simplify right side
    939.53x = 1,159,900.43
  5. Step 5: Solve for x
    x = 1,159,900.43/939.53
  6. Step 6: Final answer
    x = 1,234.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.