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Finding the Fourth Proportional to 744.95, 1,028.04 and 408.87

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Solution

The fourth proportional to 744.95, 1,028.04 and 408.87 is: 564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.95 : 1,028.04 = 408.87 : x
  2. Step 2: Convert to fraction form
    744.95/1,028.04 = 408.87/x
  3. Step 3: Cross multiply
    744.95x = 1,028.04 × 408.87
  4. Step 4: Simplify right side
    744.95x = 420,329.57
  5. Step 5: Solve for x
    x = 420,329.57/744.95
  6. Step 6: Final answer
    x = 564.24

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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.