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Finding the Fourth Proportional to 1,805.93, 2,707.23 and 651.41

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Solution

The fourth proportional to 1,805.93, 2,707.23 and 651.41 is: 976.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.93 : 2,707.23 = 651.41 : x
  2. Step 2: Convert to fraction form
    1,805.93/2,707.23 = 651.41/x
  3. Step 3: Cross multiply
    1,805.93x = 2,707.23 × 651.41
  4. Step 4: Simplify right side
    1,805.93x = 1,763,516.69
  5. Step 5: Solve for x
    x = 1,763,516.69/1,805.93
  6. Step 6: Final answer
    x = 976.51

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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.