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Finding the Fourth Proportional to 433.42, 648.90 and 389.68

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Solution

The fourth proportional to 433.42, 648.90 and 389.68 is: 583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.42 : 648.90 = 389.68 : x
  2. Step 2: Convert to fraction form
    433.42/648.90 = 389.68/x
  3. Step 3: Cross multiply
    433.42x = 648.90 × 389.68
  4. Step 4: Simplify right side
    433.42x = 252,863.35
  5. Step 5: Solve for x
    x = 252,863.35/433.42
  6. Step 6: Final answer
    x = 583.41

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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.