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Finding the Fourth Proportional to 1,601.65, 2,402.81 and 506.09

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Solution

The fourth proportional to 1,601.65, 2,402.81 and 506.09 is: 759.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.65 : 2,402.81 = 506.09 : x
  2. Step 2: Convert to fraction form
    1,601.65/2,402.81 = 506.09/x
  3. Step 3: Cross multiply
    1,601.65x = 2,402.81 × 506.09
  4. Step 4: Simplify right side
    1,601.65x = 1,216,023.57
  5. Step 5: Solve for x
    x = 1,216,023.57/1,601.65
  6. Step 6: Final answer
    x = 759.23

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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.