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Finding the Fourth Proportional to 744.36, 1,027.01 and 445.48

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Solution

The fourth proportional to 744.36, 1,027.01 and 445.48 is: 614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.36 : 1,027.01 = 445.48 : x
  2. Step 2: Convert to fraction form
    744.36/1,027.01 = 445.48/x
  3. Step 3: Cross multiply
    744.36x = 1,027.01 × 445.48
  4. Step 4: Simplify right side
    744.36x = 457,511.34
  5. Step 5: Solve for x
    x = 457,511.34/744.36
  6. Step 6: Final answer
    x = 614.64

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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.