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Finding the Fourth Proportional to 744.33, 1,114.41 and 686.91

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Solution

The fourth proportional to 744.33, 1,114.41 and 686.91 is: 1,028.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.33 : 1,114.41 = 686.91 : x
  2. Step 2: Convert to fraction form
    744.33/1,114.41 = 686.91/x
  3. Step 3: Cross multiply
    744.33x = 1,114.41 × 686.91
  4. Step 4: Simplify right side
    744.33x = 765,499.37
  5. Step 5: Solve for x
    x = 765,499.37/744.33
  6. Step 6: Final answer
    x = 1,028.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.