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Finding the Fourth Proportional to 969.21, 1,330.40 and 881.73

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Solution

The fourth proportional to 969.21, 1,330.40 and 881.73 is: 1,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.21 : 1,330.40 = 881.73 : x
  2. Step 2: Convert to fraction form
    969.21/1,330.40 = 881.73/x
  3. Step 3: Cross multiply
    969.21x = 1,330.40 × 881.73
  4. Step 4: Simplify right side
    969.21x = 1,173,055.80
  5. Step 5: Solve for x
    x = 1,173,055.80/969.21
  6. Step 6: Final answer
    x = 1,210.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.