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Finding the Fourth Proportional to 1,408.46, 2,112.05 and 483.76

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Solution

The fourth proportional to 1,408.46, 2,112.05 and 483.76 is: 725.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.46 : 2,112.05 = 483.76 : x
  2. Step 2: Convert to fraction form
    1,408.46/2,112.05 = 483.76/x
  3. Step 3: Cross multiply
    1,408.46x = 2,112.05 × 483.76
  4. Step 4: Simplify right side
    1,408.46x = 1,021,725.31
  5. Step 5: Solve for x
    x = 1,021,725.31/1,408.46
  6. Step 6: Final answer
    x = 725.42

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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.