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Finding the Fourth Proportional to 749.57, 1,033.07 and 601.97

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Solution

The fourth proportional to 749.57, 1,033.07 and 601.97 is: 829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.57 : 1,033.07 = 601.97 : x
  2. Step 2: Convert to fraction form
    749.57/1,033.07 = 601.97/x
  3. Step 3: Cross multiply
    749.57x = 1,033.07 × 601.97
  4. Step 4: Simplify right side
    749.57x = 621,868.97
  5. Step 5: Solve for x
    x = 621,868.97/749.57
  6. Step 6: Final answer
    x = 829.64

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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.