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Finding the Fourth Proportional to 1,480.94, 2,042.74 and 891.35

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Solution

The fourth proportional to 1,480.94, 2,042.74 and 891.35 is: 1,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.94 : 2,042.74 = 891.35 : x
  2. Step 2: Convert to fraction form
    1,480.94/2,042.74 = 891.35/x
  3. Step 3: Cross multiply
    1,480.94x = 2,042.74 × 891.35
  4. Step 4: Simplify right side
    1,480.94x = 1,820,796.30
  5. Step 5: Solve for x
    x = 1,820,796.30/1,480.94
  6. Step 6: Final answer
    x = 1,229.49

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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.