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Finding the Fourth Proportional to 1,601.60, 2,402.15 and 506.23

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Solution

The fourth proportional to 1,601.60, 2,402.15 and 506.23 is: 759.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.60 : 2,402.15 = 506.23 : x
  2. Step 2: Convert to fraction form
    1,601.60/2,402.15 = 506.23/x
  3. Step 3: Cross multiply
    1,601.60x = 2,402.15 × 506.23
  4. Step 4: Simplify right side
    1,601.60x = 1,216,040.39
  5. Step 5: Solve for x
    x = 1,216,040.39/1,601.60
  6. Step 6: Final answer
    x = 759.27

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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.