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Finding the Fourth Proportional to 902.35, 1,346.97 and 793

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Solution

The fourth proportional to 902.35, 1,346.97 and 793 is: 1,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.35 : 1,346.97 = 793 : x
  2. Step 2: Convert to fraction form
    902.35/1,346.97 = 793/x
  3. Step 3: Cross multiply
    902.35x = 1,346.97 × 793
  4. Step 4: Simplify right side
    902.35x = 1,068,147.21
  5. Step 5: Solve for x
    x = 1,068,147.21/902.35
  6. Step 6: Final answer
    x = 1,183.74

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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.