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Finding the Fourth Proportional to 869.64, 1,192.05 and 857.96

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Solution

The fourth proportional to 869.64, 1,192.05 and 857.96 is: 1,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.64 : 1,192.05 = 857.96 : x
  2. Step 2: Convert to fraction form
    869.64/1,192.05 = 857.96/x
  3. Step 3: Cross multiply
    869.64x = 1,192.05 × 857.96
  4. Step 4: Simplify right side
    869.64x = 1,022,731.22
  5. Step 5: Solve for x
    x = 1,022,731.22/869.64
  6. Step 6: Final answer
    x = 1,176.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.