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Finding the Fourth Proportional to 880, 1,326.62 and 820.54

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Solution

The fourth proportional to 880, 1,326.62 and 820.54 is: 1,236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    880 : 1,326.62 = 820.54 : x
  2. Step 2: Convert to fraction form
    880/1,326.62 = 820.54/x
  3. Step 3: Cross multiply
    880x = 1,326.62 × 820.54
  4. Step 4: Simplify right side
    880x = 1,088,544.77
  5. Step 5: Solve for x
    x = 1,088,544.77/880
  6. Step 6: Final answer
    x = 1,236.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.