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Finding the Fourth Proportional to 433.54, 647.27 and 330.27

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Solution

The fourth proportional to 433.54, 647.27 and 330.27 is: 493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.54 : 647.27 = 330.27 : x
  2. Step 2: Convert to fraction form
    433.54/647.27 = 330.27/x
  3. Step 3: Cross multiply
    433.54x = 647.27 × 330.27
  4. Step 4: Simplify right side
    433.54x = 213,768.98
  5. Step 5: Solve for x
    x = 213,768.98/433.54
  6. Step 6: Final answer
    x = 493.08

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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.