Home / 1,408.34-2,112.73-795.98

Finding the Fourth Proportional to 1,408.34, 2,112.73 and 795.98

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Solution

The fourth proportional to 1,408.34, 2,112.73 and 795.98 is: 1,194.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.34 : 2,112.73 = 795.98 : x
  2. Step 2: Convert to fraction form
    1,408.34/2,112.73 = 795.98/x
  3. Step 3: Cross multiply
    1,408.34x = 2,112.73 × 795.98
  4. Step 4: Simplify right side
    1,408.34x = 1,681,686.71
  5. Step 5: Solve for x
    x = 1,681,686.71/1,408.34
  6. Step 6: Final answer
    x = 1,194.09

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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.