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Finding the Fourth Proportional to 872.64, 1,204.35 and 662.49

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Solution

The fourth proportional to 872.64, 1,204.35 and 662.49 is: 914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.64 : 1,204.35 = 662.49 : x
  2. Step 2: Convert to fraction form
    872.64/1,204.35 = 662.49/x
  3. Step 3: Cross multiply
    872.64x = 1,204.35 × 662.49
  4. Step 4: Simplify right side
    872.64x = 797,869.83
  5. Step 5: Solve for x
    x = 797,869.83/872.64
  6. Step 6: Final answer
    x = 914.32

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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.