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Finding the Fourth Proportional to 872.86, 1,203.90 and 820.63

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Solution

The fourth proportional to 872.86, 1,203.90 and 820.63 is: 1,131.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.86 : 1,203.90 = 820.63 : x
  2. Step 2: Convert to fraction form
    872.86/1,203.90 = 820.63/x
  3. Step 3: Cross multiply
    872.86x = 1,203.90 × 820.63
  4. Step 4: Simplify right side
    872.86x = 987,956.46
  5. Step 5: Solve for x
    x = 987,956.46/872.86
  6. Step 6: Final answer
    x = 1,131.86

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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.