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Finding the Fourth Proportional to 435.68, 650.26 and 428.48

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Solution

The fourth proportional to 435.68, 650.26 and 428.48 is: 639.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.68 : 650.26 = 428.48 : x
  2. Step 2: Convert to fraction form
    435.68/650.26 = 428.48/x
  3. Step 3: Cross multiply
    435.68x = 650.26 × 428.48
  4. Step 4: Simplify right side
    435.68x = 278,623.40
  5. Step 5: Solve for x
    x = 278,623.40/435.68
  6. Step 6: Final answer
    x = 639.51

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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.