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Finding the Fourth Proportional to 1,412.67, 2,119.01 and 580.19

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Solution

The fourth proportional to 1,412.67, 2,119.01 and 580.19 is: 870.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.67 : 2,119.01 = 580.19 : x
  2. Step 2: Convert to fraction form
    1,412.67/2,119.01 = 580.19/x
  3. Step 3: Cross multiply
    1,412.67x = 2,119.01 × 580.19
  4. Step 4: Simplify right side
    1,412.67x = 1,229,414.92
  5. Step 5: Solve for x
    x = 1,229,414.92/1,412.67
  6. Step 6: Final answer
    x = 870.28

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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.