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Finding the Fourth Proportional to 1,119.68, 1,679.36 and 298.01

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Solution

The fourth proportional to 1,119.68, 1,679.36 and 298.01 is: 446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.68 : 1,679.36 = 298.01 : x
  2. Step 2: Convert to fraction form
    1,119.68/1,679.36 = 298.01/x
  3. Step 3: Cross multiply
    1,119.68x = 1,679.36 × 298.01
  4. Step 4: Simplify right side
    1,119.68x = 500,456.19
  5. Step 5: Solve for x
    x = 500,456.19/1,119.68
  6. Step 6: Final answer
    x = 446.97

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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.