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Finding the Fourth Proportional to 1,264.29, 1,745.12 and 1,028.05

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Solution

The fourth proportional to 1,264.29, 1,745.12 and 1,028.05 is: 1,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.29 : 1,745.12 = 1,028.05 : x
  2. Step 2: Convert to fraction form
    1,264.29/1,745.12 = 1,028.05/x
  3. Step 3: Cross multiply
    1,264.29x = 1,745.12 × 1,028.05
  4. Step 4: Simplify right side
    1,264.29x = 1,794,061.11
  5. Step 5: Solve for x
    x = 1,794,061.11/1,264.29
  6. Step 6: Final answer
    x = 1,419.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.