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Finding the Fourth Proportional to 1,083.71, 1,494.94 and 943.58

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Solution

The fourth proportional to 1,083.71, 1,494.94 and 943.58 is: 1,301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.71 : 1,494.94 = 943.58 : x
  2. Step 2: Convert to fraction form
    1,083.71/1,494.94 = 943.58/x
  3. Step 3: Cross multiply
    1,083.71x = 1,494.94 × 943.58
  4. Step 4: Simplify right side
    1,083.71x = 1,410,596.86
  5. Step 5: Solve for x
    x = 1,410,596.86/1,083.71
  6. Step 6: Final answer
    x = 1,301.63

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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.