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Finding the Fourth Proportional to 1,119.56, 1,674.36 and 997.07

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Solution

The fourth proportional to 1,119.56, 1,674.36 and 997.07 is: 1,491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.56 : 1,674.36 = 997.07 : x
  2. Step 2: Convert to fraction form
    1,119.56/1,674.36 = 997.07/x
  3. Step 3: Cross multiply
    1,119.56x = 1,674.36 × 997.07
  4. Step 4: Simplify right side
    1,119.56x = 1,669,445.75
  5. Step 5: Solve for x
    x = 1,669,445.75/1,119.56
  6. Step 6: Final answer
    x = 1,491.17

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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.