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Finding the Fourth Proportional to 748.93, 1,033.24 and 454.09

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Solution

The fourth proportional to 748.93, 1,033.24 and 454.09 is: 626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.93 : 1,033.24 = 454.09 : x
  2. Step 2: Convert to fraction form
    748.93/1,033.24 = 454.09/x
  3. Step 3: Cross multiply
    748.93x = 1,033.24 × 454.09
  4. Step 4: Simplify right side
    748.93x = 469,183.95
  5. Step 5: Solve for x
    x = 469,183.95/748.93
  6. Step 6: Final answer
    x = 626.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.