Home / 1,406.14-2,109.66-675.30

Finding the Fourth Proportional to 1,406.14, 2,109.66 and 675.30

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Solution

The fourth proportional to 1,406.14, 2,109.66 and 675.30 is: 1,013.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.14 : 2,109.66 = 675.30 : x
  2. Step 2: Convert to fraction form
    1,406.14/2,109.66 = 675.30/x
  3. Step 3: Cross multiply
    1,406.14x = 2,109.66 × 675.30
  4. Step 4: Simplify right side
    1,406.14x = 1,424,653.40
  5. Step 5: Solve for x
    x = 1,424,653.40/1,406.14
  6. Step 6: Final answer
    x = 1,013.17

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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.