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Finding the Fourth Proportional to 749.11, 1,033.85 and 454.58

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Solution

The fourth proportional to 749.11, 1,033.85 and 454.58 is: 627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.11 : 1,033.85 = 454.58 : x
  2. Step 2: Convert to fraction form
    749.11/1,033.85 = 454.58/x
  3. Step 3: Cross multiply
    749.11x = 1,033.85 × 454.58
  4. Step 4: Simplify right side
    749.11x = 469,967.84
  5. Step 5: Solve for x
    x = 469,967.84/749.11
  6. Step 6: Final answer
    x = 627.37

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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.