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Finding the Fourth Proportional to 744.09, 1,027.07 and 464.15

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Solution

The fourth proportional to 744.09, 1,027.07 and 464.15 is: 640.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.09 : 1,027.07 = 464.15 : x
  2. Step 2: Convert to fraction form
    744.09/1,027.07 = 464.15/x
  3. Step 3: Cross multiply
    744.09x = 1,027.07 × 464.15
  4. Step 4: Simplify right side
    744.09x = 476,716.53
  5. Step 5: Solve for x
    x = 476,716.53/744.09
  6. Step 6: Final answer
    x = 640.67

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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.