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Finding the Fourth Proportional to 882.94, 1,322.82 and 830.88

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Solution

The fourth proportional to 882.94, 1,322.82 and 830.88 is: 1,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.94 : 1,322.82 = 830.88 : x
  2. Step 2: Convert to fraction form
    882.94/1,322.82 = 830.88/x
  3. Step 3: Cross multiply
    882.94x = 1,322.82 × 830.88
  4. Step 4: Simplify right side
    882.94x = 1,099,104.68
  5. Step 5: Solve for x
    x = 1,099,104.68/882.94
  6. Step 6: Final answer
    x = 1,244.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.