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Finding the Fourth Proportional to 1,092.44, 1,507.56 and 626.68

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Solution

The fourth proportional to 1,092.44, 1,507.56 and 626.68 is: 864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.44 : 1,507.56 = 626.68 : x
  2. Step 2: Convert to fraction form
    1,092.44/1,507.56 = 626.68/x
  3. Step 3: Cross multiply
    1,092.44x = 1,507.56 × 626.68
  4. Step 4: Simplify right side
    1,092.44x = 944,757.70
  5. Step 5: Solve for x
    x = 944,757.70/1,092.44
  6. Step 6: Final answer
    x = 864.81

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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.