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Finding the Fourth Proportional to 836.32, 1,147.32 and 813.56

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Solution

The fourth proportional to 836.32, 1,147.32 and 813.56 is: 1,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.32 : 1,147.32 = 813.56 : x
  2. Step 2: Convert to fraction form
    836.32/1,147.32 = 813.56/x
  3. Step 3: Cross multiply
    836.32x = 1,147.32 × 813.56
  4. Step 4: Simplify right side
    836.32x = 933,413.66
  5. Step 5: Solve for x
    x = 933,413.66/836.32
  6. Step 6: Final answer
    x = 1,116.10

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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.