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Finding the Fourth Proportional to 969.22, 1,445.79 and 876.88

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Solution

The fourth proportional to 969.22, 1,445.79 and 876.88 is: 1,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.22 : 1,445.79 = 876.88 : x
  2. Step 2: Convert to fraction form
    969.22/1,445.79 = 876.88/x
  3. Step 3: Cross multiply
    969.22x = 1,445.79 × 876.88
  4. Step 4: Simplify right side
    969.22x = 1,267,784.34
  5. Step 5: Solve for x
    x = 1,267,784.34/969.22
  6. Step 6: Final answer
    x = 1,308.05

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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.