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Finding the Fourth Proportional to 1,043.90, 1,558.58 and 940.22

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Solution

The fourth proportional to 1,043.90, 1,558.58 and 940.22 is: 1,403.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.90 : 1,558.58 = 940.22 : x
  2. Step 2: Convert to fraction form
    1,043.90/1,558.58 = 940.22/x
  3. Step 3: Cross multiply
    1,043.90x = 1,558.58 × 940.22
  4. Step 4: Simplify right side
    1,043.90x = 1,465,408.09
  5. Step 5: Solve for x
    x = 1,465,408.09/1,043.90
  6. Step 6: Final answer
    x = 1,403.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.