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Finding the Fourth Proportional to 873.17, 1,204.11 and 797.31

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Solution

The fourth proportional to 873.17, 1,204.11 and 797.31 is: 1,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.17 : 1,204.11 = 797.31 : x
  2. Step 2: Convert to fraction form
    873.17/1,204.11 = 797.31/x
  3. Step 3: Cross multiply
    873.17x = 1,204.11 × 797.31
  4. Step 4: Simplify right side
    873.17x = 960,048.94
  5. Step 5: Solve for x
    x = 960,048.94/873.17
  6. Step 6: Final answer
    x = 1,099.50

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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.