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Finding the Fourth Proportional to 1,118.42, 1,542.88 and 745.44

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Solution

The fourth proportional to 1,118.42, 1,542.88 and 745.44 is: 1,028.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.42 : 1,542.88 = 745.44 : x
  2. Step 2: Convert to fraction form
    1,118.42/1,542.88 = 745.44/x
  3. Step 3: Cross multiply
    1,118.42x = 1,542.88 × 745.44
  4. Step 4: Simplify right side
    1,118.42x = 1,150,113.03
  5. Step 5: Solve for x
    x = 1,150,113.03/1,118.42
  6. Step 6: Final answer
    x = 1,028.34

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1.5x scale

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.