Home / 1,189.19-1,784.70-449.46

Finding the Fourth Proportional to 1,189.19, 1,784.70 and 449.46

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Solution

The fourth proportional to 1,189.19, 1,784.70 and 449.46 is: 674.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.19 : 1,784.70 = 449.46 : x
  2. Step 2: Convert to fraction form
    1,189.19/1,784.70 = 449.46/x
  3. Step 3: Cross multiply
    1,189.19x = 1,784.70 × 449.46
  4. Step 4: Simplify right side
    1,189.19x = 802,151.26
  5. Step 5: Solve for x
    x = 802,151.26/1,189.19
  6. Step 6: Final answer
    x = 674.53

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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.