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Finding the Fourth Proportional to 1,028.08, 1,415.12 and 860.44

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Solution

The fourth proportional to 1,028.08, 1,415.12 and 860.44 is: 1,184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.08 : 1,415.12 = 860.44 : x
  2. Step 2: Convert to fraction form
    1,028.08/1,415.12 = 860.44/x
  3. Step 3: Cross multiply
    1,028.08x = 1,415.12 × 860.44
  4. Step 4: Simplify right side
    1,028.08x = 1,217,625.85
  5. Step 5: Solve for x
    x = 1,217,625.85/1,028.08
  6. Step 6: Final answer
    x = 1,184.37

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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.