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Finding the Fourth Proportional to 749.11, 1,033.49 and 454.27

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Solution

The fourth proportional to 749.11, 1,033.49 and 454.27 is: 626.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.11 : 1,033.49 = 454.27 : x
  2. Step 2: Convert to fraction form
    749.11/1,033.49 = 454.27/x
  3. Step 3: Cross multiply
    749.11x = 1,033.49 × 454.27
  4. Step 4: Simplify right side
    749.11x = 469,485.93
  5. Step 5: Solve for x
    x = 469,485.93/749.11
  6. Step 6: Final answer
    x = 626.72

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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.