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Finding the Fourth Proportional to 433.18, 644.21 and 419.51

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Solution

The fourth proportional to 433.18, 644.21 and 419.51 is: 623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.18 : 644.21 = 419.51 : x
  2. Step 2: Convert to fraction form
    433.18/644.21 = 419.51/x
  3. Step 3: Cross multiply
    433.18x = 644.21 × 419.51
  4. Step 4: Simplify right side
    433.18x = 270,250.44
  5. Step 5: Solve for x
    x = 270,250.44/433.18
  6. Step 6: Final answer
    x = 623.88

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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.