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Finding the Fourth Proportional to 1,604.72, 2,406.97 and 509.87

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Solution

The fourth proportional to 1,604.72, 2,406.97 and 509.87 is: 764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.72 : 2,406.97 = 509.87 : x
  2. Step 2: Convert to fraction form
    1,604.72/2,406.97 = 509.87/x
  3. Step 3: Cross multiply
    1,604.72x = 2,406.97 × 509.87
  4. Step 4: Simplify right side
    1,604.72x = 1,227,227.21
  5. Step 5: Solve for x
    x = 1,227,227.21/1,604.72
  6. Step 6: Final answer
    x = 764.76

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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.