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Finding the Fourth Proportional to 1,601.72, 2,402.82 and 447.56

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Solution

The fourth proportional to 1,601.72, 2,402.82 and 447.56 is: 671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.72 : 2,402.82 = 447.56 : x
  2. Step 2: Convert to fraction form
    1,601.72/2,402.82 = 447.56/x
  3. Step 3: Cross multiply
    1,601.72x = 2,402.82 × 447.56
  4. Step 4: Simplify right side
    1,601.72x = 1,075,406.12
  5. Step 5: Solve for x
    x = 1,075,406.12/1,601.72
  6. Step 6: Final answer
    x = 671.41

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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.