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Finding the Fourth Proportional to 1,189.99, 1,785.14 and 449.55

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Solution

The fourth proportional to 1,189.99, 1,785.14 and 449.55 is: 674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.99 : 1,785.14 = 449.55 : x
  2. Step 2: Convert to fraction form
    1,189.99/1,785.14 = 449.55/x
  3. Step 3: Cross multiply
    1,189.99x = 1,785.14 × 449.55
  4. Step 4: Simplify right side
    1,189.99x = 802,509.13
  5. Step 5: Solve for x
    x = 802,509.13/1,189.99
  6. Step 6: Final answer
    x = 674.38

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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.