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Finding the Fourth Proportional to 2,039.40, 3,058.86 and 652.90

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Solution

The fourth proportional to 2,039.40, 3,058.86 and 652.90 is: 979.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.40 : 3,058.86 = 652.90 : x
  2. Step 2: Convert to fraction form
    2,039.40/3,058.86 = 652.90/x
  3. Step 3: Cross multiply
    2,039.40x = 3,058.86 × 652.90
  4. Step 4: Simplify right side
    2,039.40x = 1,997,129.69
  5. Step 5: Solve for x
    x = 1,997,129.69/2,039.40
  6. Step 6: Final answer
    x = 979.27

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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.