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Finding the Fourth Proportional to 634.18, 950.65 and 428.29

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Solution

The fourth proportional to 634.18, 950.65 and 428.29 is: 642.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.18 : 950.65 = 428.29 : x
  2. Step 2: Convert to fraction form
    634.18/950.65 = 428.29/x
  3. Step 3: Cross multiply
    634.18x = 950.65 × 428.29
  4. Step 4: Simplify right side
    634.18x = 407,153.89
  5. Step 5: Solve for x
    x = 407,153.89/634.18
  6. Step 6: Final answer
    x = 642.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.