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Finding the Fourth Proportional to 1,408.44, 2,111.28 and 587.28

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Solution

The fourth proportional to 1,408.44, 2,111.28 and 587.28 is: 880.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.44 : 2,111.28 = 587.28 : x
  2. Step 2: Convert to fraction form
    1,408.44/2,111.28 = 587.28/x
  3. Step 3: Cross multiply
    1,408.44x = 2,111.28 × 587.28
  4. Step 4: Simplify right side
    1,408.44x = 1,239,912.52
  5. Step 5: Solve for x
    x = 1,239,912.52/1,408.44
  6. Step 6: Final answer
    x = 880.34

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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.