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Finding the Fourth Proportional to 744.21, 1,026.92 and 482.22

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Solution

The fourth proportional to 744.21, 1,026.92 and 482.22 is: 665.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.21 : 1,026.92 = 482.22 : x
  2. Step 2: Convert to fraction form
    744.21/1,026.92 = 482.22/x
  3. Step 3: Cross multiply
    744.21x = 1,026.92 × 482.22
  4. Step 4: Simplify right side
    744.21x = 495,198.95
  5. Step 5: Solve for x
    x = 495,198.95/744.21
  6. Step 6: Final answer
    x = 665.40

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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.