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Finding the Fourth Proportional to 435.32, 648.94 and 428.66

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Solution

The fourth proportional to 435.32, 648.94 and 428.66 is: 639.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.32 : 648.94 = 428.66 : x
  2. Step 2: Convert to fraction form
    435.32/648.94 = 428.66/x
  3. Step 3: Cross multiply
    435.32x = 648.94 × 428.66
  4. Step 4: Simplify right side
    435.32x = 278,174.62
  5. Step 5: Solve for x
    x = 278,174.62/435.32
  6. Step 6: Final answer
    x = 639.01

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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.