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Finding the Fourth Proportional to 433.72, 597.78 and 335.56

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Solution

The fourth proportional to 433.72, 597.78 and 335.56 is: 462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.72 : 597.78 = 335.56 : x
  2. Step 2: Convert to fraction form
    433.72/597.78 = 335.56/x
  3. Step 3: Cross multiply
    433.72x = 597.78 × 335.56
  4. Step 4: Simplify right side
    433.72x = 200,591.06
  5. Step 5: Solve for x
    x = 200,591.06/433.72
  6. Step 6: Final answer
    x = 462.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.