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Finding the Fourth Proportional to 749.48, 1,033.83 and 583.43

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Solution

The fourth proportional to 749.48, 1,033.83 and 583.43 is: 804.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.48 : 1,033.83 = 583.43 : x
  2. Step 2: Convert to fraction form
    749.48/1,033.83 = 583.43/x
  3. Step 3: Cross multiply
    749.48x = 1,033.83 × 583.43
  4. Step 4: Simplify right side
    749.48x = 603,162.27
  5. Step 5: Solve for x
    x = 603,162.27/749.48
  6. Step 6: Final answer
    x = 804.78

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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.