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Finding the Fourth Proportional to 433.06, 644.02 and 419.39

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Solution

The fourth proportional to 433.06, 644.02 and 419.39 is: 623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.06 : 644.02 = 419.39 : x
  2. Step 2: Convert to fraction form
    433.06/644.02 = 419.39/x
  3. Step 3: Cross multiply
    433.06x = 644.02 × 419.39
  4. Step 4: Simplify right side
    433.06x = 270,091.28
  5. Step 5: Solve for x
    x = 270,091.28/433.06
  6. Step 6: Final answer
    x = 623.68

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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.