Home / 1,601.10-2,401.40-505.73

Finding the Fourth Proportional to 1,601.10, 2,401.40 and 505.73

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Solution

The fourth proportional to 1,601.10, 2,401.40 and 505.73 is: 758.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.10 : 2,401.40 = 505.73 : x
  2. Step 2: Convert to fraction form
    1,601.10/2,401.40 = 505.73/x
  3. Step 3: Cross multiply
    1,601.10x = 2,401.40 × 505.73
  4. Step 4: Simplify right side
    1,601.10x = 1,214,460.02
  5. Step 5: Solve for x
    x = 1,214,460.02/1,601.10
  6. Step 6: Final answer
    x = 758.52

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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.