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Finding the Fourth Proportional to 873.28, 1,197.31 and 857.68

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Solution

The fourth proportional to 873.28, 1,197.31 and 857.68 is: 1,175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.28 : 1,197.31 = 857.68 : x
  2. Step 2: Convert to fraction form
    873.28/1,197.31 = 857.68/x
  3. Step 3: Cross multiply
    873.28x = 1,197.31 × 857.68
  4. Step 4: Simplify right side
    873.28x = 1,026,908.84
  5. Step 5: Solve for x
    x = 1,026,908.84/873.28
  6. Step 6: Final answer
    x = 1,175.92

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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.