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Finding the Fourth Proportional to 969.28, 1,445.32 and 854.16

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Solution

The fourth proportional to 969.28, 1,445.32 and 854.16 is: 1,273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.28 : 1,445.32 = 854.16 : x
  2. Step 2: Convert to fraction form
    969.28/1,445.32 = 854.16/x
  3. Step 3: Cross multiply
    969.28x = 1,445.32 × 854.16
  4. Step 4: Simplify right side
    969.28x = 1,234,534.53
  5. Step 5: Solve for x
    x = 1,234,534.53/969.28
  6. Step 6: Final answer
    x = 1,273.66

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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.