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Finding the Fourth Proportional to 1,408.66, 2,112.54 and 586.73

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Solution

The fourth proportional to 1,408.66, 2,112.54 and 586.73 is: 879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.66 : 2,112.54 = 586.73 : x
  2. Step 2: Convert to fraction form
    1,408.66/2,112.54 = 586.73/x
  3. Step 3: Cross multiply
    1,408.66x = 2,112.54 × 586.73
  4. Step 4: Simplify right side
    1,408.66x = 1,239,494.83
  5. Step 5: Solve for x
    x = 1,239,494.83/1,408.66
  6. Step 6: Final answer
    x = 879.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.