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Finding the Fourth Proportional to 433.86, 651.23 and 347.73

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Solution

The fourth proportional to 433.86, 651.23 and 347.73 is: 521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.86 : 651.23 = 347.73 : x
  2. Step 2: Convert to fraction form
    433.86/651.23 = 347.73/x
  3. Step 3: Cross multiply
    433.86x = 651.23 × 347.73
  4. Step 4: Simplify right side
    433.86x = 226,450.47
  5. Step 5: Solve for x
    x = 226,450.47/433.86
  6. Step 6: Final answer
    x = 521.94

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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.