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Finding the Fourth Proportional to 898.89, 1,239.94 and 809.68

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Solution

The fourth proportional to 898.89, 1,239.94 and 809.68 is: 1,116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.89 : 1,239.94 = 809.68 : x
  2. Step 2: Convert to fraction form
    898.89/1,239.94 = 809.68/x
  3. Step 3: Cross multiply
    898.89x = 1,239.94 × 809.68
  4. Step 4: Simplify right side
    898.89x = 1,003,954.62
  5. Step 5: Solve for x
    x = 1,003,954.62/898.89
  6. Step 6: Final answer
    x = 1,116.88

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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.