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Finding the Fourth Proportional to 1,409.81, 2,115.97 and 670.33

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Solution

The fourth proportional to 1,409.81, 2,115.97 and 670.33 is: 1,006.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.81 : 2,115.97 = 670.33 : x
  2. Step 2: Convert to fraction form
    1,409.81/2,115.97 = 670.33/x
  3. Step 3: Cross multiply
    1,409.81x = 2,115.97 × 670.33
  4. Step 4: Simplify right side
    1,409.81x = 1,418,396.49
  5. Step 5: Solve for x
    x = 1,418,396.49/1,409.81
  6. Step 6: Final answer
    x = 1,006.09

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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.