Home / 1,428.29-2,141.31-658.25

Finding the Fourth Proportional to 1,428.29, 2,141.31 and 658.25

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Solution

The fourth proportional to 1,428.29, 2,141.31 and 658.25 is: 986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.29 : 2,141.31 = 658.25 : x
  2. Step 2: Convert to fraction form
    1,428.29/2,141.31 = 658.25/x
  3. Step 3: Cross multiply
    1,428.29x = 2,141.31 × 658.25
  4. Step 4: Simplify right side
    1,428.29x = 1,409,517.31
  5. Step 5: Solve for x
    x = 1,409,517.31/1,428.29
  6. Step 6: Final answer
    x = 986.86

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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.