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Finding the Fourth Proportional to 744.60, 1,027.53 and 408.50

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Solution

The fourth proportional to 744.60, 1,027.53 and 408.50 is: 563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.60 : 1,027.53 = 408.50 : x
  2. Step 2: Convert to fraction form
    744.60/1,027.53 = 408.50/x
  3. Step 3: Cross multiply
    744.60x = 1,027.53 × 408.50
  4. Step 4: Simplify right side
    744.60x = 419,740.87
  5. Step 5: Solve for x
    x = 419,740.87/744.60
  6. Step 6: Final answer
    x = 563.71

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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.