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Finding the Fourth Proportional to 744.51, 1,027.32 and 445.67

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Solution

The fourth proportional to 744.51, 1,027.32 and 445.67 is: 614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.51 : 1,027.32 = 445.67 : x
  2. Step 2: Convert to fraction form
    744.51/1,027.32 = 445.67/x
  3. Step 3: Cross multiply
    744.51x = 1,027.32 × 445.67
  4. Step 4: Simplify right side
    744.51x = 457,842.75
  5. Step 5: Solve for x
    x = 457,842.75/744.51
  6. Step 6: Final answer
    x = 614.96

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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.