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Finding the Fourth Proportional to 1,371.88, 2,058.09 and 678.52

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Solution

The fourth proportional to 1,371.88, 2,058.09 and 678.52 is: 1,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.88 : 2,058.09 = 678.52 : x
  2. Step 2: Convert to fraction form
    1,371.88/2,058.09 = 678.52/x
  3. Step 3: Cross multiply
    1,371.88x = 2,058.09 × 678.52
  4. Step 4: Simplify right side
    1,371.88x = 1,396,455.23
  5. Step 5: Solve for x
    x = 1,396,455.23/1,371.88
  6. Step 6: Final answer
    x = 1,017.91

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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.