Home / 1,428.42-2,141.13-696.99

Finding the Fourth Proportional to 1,428.42, 2,141.13 and 696.99

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Solution

The fourth proportional to 1,428.42, 2,141.13 and 696.99 is: 1,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.42 : 2,141.13 = 696.99 : x
  2. Step 2: Convert to fraction form
    1,428.42/2,141.13 = 696.99/x
  3. Step 3: Cross multiply
    1,428.42x = 2,141.13 × 696.99
  4. Step 4: Simplify right side
    1,428.42x = 1,492,346.20
  5. Step 5: Solve for x
    x = 1,492,346.20/1,428.42
  6. Step 6: Final answer
    x = 1,044.75

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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.