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Finding the Fourth Proportional to 842.92, 1,163.40 and 777.04

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Solution

The fourth proportional to 842.92, 1,163.40 and 777.04 is: 1,072.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.92 : 1,163.40 = 777.04 : x
  2. Step 2: Convert to fraction form
    842.92/1,163.40 = 777.04/x
  3. Step 3: Cross multiply
    842.92x = 1,163.40 × 777.04
  4. Step 4: Simplify right side
    842.92x = 904,008.34
  5. Step 5: Solve for x
    x = 904,008.34/842.92
  6. Step 6: Final answer
    x = 1,072.47

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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.