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Finding the Fourth Proportional to 2,040.30, 3,058.94 and 652.84

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Solution

The fourth proportional to 2,040.30, 3,058.94 and 652.84 is: 978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.30 : 3,058.94 = 652.84 : x
  2. Step 2: Convert to fraction form
    2,040.30/3,058.94 = 652.84/x
  3. Step 3: Cross multiply
    2,040.30x = 3,058.94 × 652.84
  4. Step 4: Simplify right side
    2,040.30x = 1,996,998.39
  5. Step 5: Solve for x
    x = 1,996,998.39/2,040.30
  6. Step 6: Final answer
    x = 978.78

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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.