Home / 1,601.42-2,402.27-676.81

Finding the Fourth Proportional to 1,601.42, 2,402.27 and 676.81

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Solution

The fourth proportional to 1,601.42, 2,402.27 and 676.81 is: 1,015.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.42 : 2,402.27 = 676.81 : x
  2. Step 2: Convert to fraction form
    1,601.42/2,402.27 = 676.81/x
  3. Step 3: Cross multiply
    1,601.42x = 2,402.27 × 676.81
  4. Step 4: Simplify right side
    1,601.42x = 1,625,880.36
  5. Step 5: Solve for x
    x = 1,625,880.36/1,601.42
  6. Step 6: Final answer
    x = 1,015.27

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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.