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Finding the Fourth Proportional to 1,146.62, 1,580.96 and 969.27

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Solution

The fourth proportional to 1,146.62, 1,580.96 and 969.27 is: 1,336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.62 : 1,580.96 = 969.27 : x
  2. Step 2: Convert to fraction form
    1,146.62/1,580.96 = 969.27/x
  3. Step 3: Cross multiply
    1,146.62x = 1,580.96 × 969.27
  4. Step 4: Simplify right side
    1,146.62x = 1,532,372.25
  5. Step 5: Solve for x
    x = 1,532,372.25/1,146.62
  6. Step 6: Final answer
    x = 1,336.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.