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Finding the Fourth Proportional to 744.11, 1,026.92 and 445.49

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Solution

The fourth proportional to 744.11, 1,026.92 and 445.49 is: 614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.11 : 1,026.92 = 445.49 : x
  2. Step 2: Convert to fraction form
    744.11/1,026.92 = 445.49/x
  3. Step 3: Cross multiply
    744.11x = 1,026.92 × 445.49
  4. Step 4: Simplify right side
    744.11x = 457,482.59
  5. Step 5: Solve for x
    x = 457,482.59/744.11
  6. Step 6: Final answer
    x = 614.81

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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.