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Finding the Fourth Proportional to 969.96, 1,447.35 and 853.32

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Solution

The fourth proportional to 969.96, 1,447.35 and 853.32 is: 1,273.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.96 : 1,447.35 = 853.32 : x
  2. Step 2: Convert to fraction form
    969.96/1,447.35 = 853.32/x
  3. Step 3: Cross multiply
    969.96x = 1,447.35 × 853.32
  4. Step 4: Simplify right side
    969.96x = 1,235,052.70
  5. Step 5: Solve for x
    x = 1,235,052.70/969.96
  6. Step 6: Final answer
    x = 1,273.30

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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.