Home / 1,586.08-2,379.19-490.47

Finding the Fourth Proportional to 1,586.08, 2,379.19 and 490.47

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Solution

The fourth proportional to 1,586.08, 2,379.19 and 490.47 is: 735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.08 : 2,379.19 = 490.47 : x
  2. Step 2: Convert to fraction form
    1,586.08/2,379.19 = 490.47/x
  3. Step 3: Cross multiply
    1,586.08x = 2,379.19 × 490.47
  4. Step 4: Simplify right side
    1,586.08x = 1,166,912.09
  5. Step 5: Solve for x
    x = 1,166,912.09/1,586.08
  6. Step 6: Final answer
    x = 735.72

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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.