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Finding the Fourth Proportional to 908.09, 1,359.38 and 821.46

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Solution

The fourth proportional to 908.09, 1,359.38 and 821.46 is: 1,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.09 : 1,359.38 = 821.46 : x
  2. Step 2: Convert to fraction form
    908.09/1,359.38 = 821.46/x
  3. Step 3: Cross multiply
    908.09x = 1,359.38 × 821.46
  4. Step 4: Simplify right side
    908.09x = 1,116,672.19
  5. Step 5: Solve for x
    x = 1,116,672.19/908.09
  6. Step 6: Final answer
    x = 1,229.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.