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Finding the Fourth Proportional to 2,039.40, 3,058.78 and 578.68

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Solution

The fourth proportional to 2,039.40, 3,058.78 and 578.68 is: 867.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.40 : 3,058.78 = 578.68 : x
  2. Step 2: Convert to fraction form
    2,039.40/3,058.78 = 578.68/x
  3. Step 3: Cross multiply
    2,039.40x = 3,058.78 × 578.68
  4. Step 4: Simplify right side
    2,039.40x = 1,770,054.81
  5. Step 5: Solve for x
    x = 1,770,054.81/2,039.40
  6. Step 6: Final answer
    x = 867.93

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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.