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Finding the Fourth Proportional to 838.37, 1,150.75 and 743.03

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Solution

The fourth proportional to 838.37, 1,150.75 and 743.03 is: 1,019.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.37 : 1,150.75 = 743.03 : x
  2. Step 2: Convert to fraction form
    838.37/1,150.75 = 743.03/x
  3. Step 3: Cross multiply
    838.37x = 1,150.75 × 743.03
  4. Step 4: Simplify right side
    838.37x = 855,041.77
  5. Step 5: Solve for x
    x = 855,041.77/838.37
  6. Step 6: Final answer
    x = 1,019.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.