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Finding the Fourth Proportional to 872.88, 1,206.12 and 699.60

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Solution

The fourth proportional to 872.88, 1,206.12 and 699.60 is: 966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.88 : 1,206.12 = 699.60 : x
  2. Step 2: Convert to fraction form
    872.88/1,206.12 = 699.60/x
  3. Step 3: Cross multiply
    872.88x = 1,206.12 × 699.60
  4. Step 4: Simplify right side
    872.88x = 843,801.55
  5. Step 5: Solve for x
    x = 843,801.55/872.88
  6. Step 6: Final answer
    x = 966.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.