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Finding the Fourth Proportional to 902.07, 1,346.56 and 834.37

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Solution

The fourth proportional to 902.07, 1,346.56 and 834.37 is: 1,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.07 : 1,346.56 = 834.37 : x
  2. Step 2: Convert to fraction form
    902.07/1,346.56 = 834.37/x
  3. Step 3: Cross multiply
    902.07x = 1,346.56 × 834.37
  4. Step 4: Simplify right side
    902.07x = 1,123,523.81
  5. Step 5: Solve for x
    x = 1,123,523.81/902.07
  6. Step 6: Final answer
    x = 1,245.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.