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Finding the Fourth Proportional to 894.09, 1,340.45 and 689.06

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Solution

The fourth proportional to 894.09, 1,340.45 and 689.06 is: 1,033.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.09 : 1,340.45 = 689.06 : x
  2. Step 2: Convert to fraction form
    894.09/1,340.45 = 689.06/x
  3. Step 3: Cross multiply
    894.09x = 1,340.45 × 689.06
  4. Step 4: Simplify right side
    894.09x = 923,645.43
  5. Step 5: Solve for x
    x = 923,645.43/894.09
  6. Step 6: Final answer
    x = 1,033.06

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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.