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Finding the Fourth Proportional to 749.03, 1,033.61 and 454.40

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Solution

The fourth proportional to 749.03, 1,033.61 and 454.40 is: 627.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.03 : 1,033.61 = 454.40 : x
  2. Step 2: Convert to fraction form
    749.03/1,033.61 = 454.40/x
  3. Step 3: Cross multiply
    749.03x = 1,033.61 × 454.40
  4. Step 4: Simplify right side
    749.03x = 469,664.94
  5. Step 5: Solve for x
    x = 469,664.94/749.03
  6. Step 6: Final answer
    x = 627.04

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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.