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Finding the Fourth Proportional to 1,034.66, 1,426.66 and 798.07

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Solution

The fourth proportional to 1,034.66, 1,426.66 and 798.07 is: 1,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.66 : 1,426.66 = 798.07 : x
  2. Step 2: Convert to fraction form
    1,034.66/1,426.66 = 798.07/x
  3. Step 3: Cross multiply
    1,034.66x = 1,426.66 × 798.07
  4. Step 4: Simplify right side
    1,034.66x = 1,138,574.55
  5. Step 5: Solve for x
    x = 1,138,574.55/1,034.66
  6. Step 6: Final answer
    x = 1,100.43

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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.