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Finding the Fourth Proportional to 889.43, 1,340.80 and 829.96

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Solution

The fourth proportional to 889.43, 1,340.80 and 829.96 is: 1,251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.43 : 1,340.80 = 829.96 : x
  2. Step 2: Convert to fraction form
    889.43/1,340.80 = 829.96/x
  3. Step 3: Cross multiply
    889.43x = 1,340.80 × 829.96
  4. Step 4: Simplify right side
    889.43x = 1,112,804.94
  5. Step 5: Solve for x
    x = 1,112,804.94/889.43
  6. Step 6: Final answer
    x = 1,251.15

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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.