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Finding the Fourth Proportional to 969.59, 1,454.85 and 889.40

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Solution

The fourth proportional to 969.59, 1,454.85 and 889.40 is: 1,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.59 : 1,454.85 = 889.40 : x
  2. Step 2: Convert to fraction form
    969.59/1,454.85 = 889.40/x
  3. Step 3: Cross multiply
    969.59x = 1,454.85 × 889.40
  4. Step 4: Simplify right side
    969.59x = 1,293,936.32
  5. Step 5: Solve for x
    x = 1,293,936.32/969.59
  6. Step 6: Final answer
    x = 1,334.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.