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Finding the Fourth Proportional to 628.62, 941.76 and 433.39

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Solution

The fourth proportional to 628.62, 941.76 and 433.39 is: 649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.62 : 941.76 = 433.39 : x
  2. Step 2: Convert to fraction form
    628.62/941.76 = 433.39/x
  3. Step 3: Cross multiply
    628.62x = 941.76 × 433.39
  4. Step 4: Simplify right side
    628.62x = 408,149.37
  5. Step 5: Solve for x
    x = 408,149.37/628.62
  6. Step 6: Final answer
    x = 649.28

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