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Finding the Fourth Proportional to 461.97, 689.65 and 428.22

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Solution

The fourth proportional to 461.97, 689.65 and 428.22 is: 639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.97 : 689.65 = 428.22 : x
  2. Step 2: Convert to fraction form
    461.97/689.65 = 428.22/x
  3. Step 3: Cross multiply
    461.97x = 689.65 × 428.22
  4. Step 4: Simplify right side
    461.97x = 295,320.85
  5. Step 5: Solve for x
    x = 295,320.85/461.97
  6. Step 6: Final answer
    x = 639.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.