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Finding the Fourth Proportional to 1,189.95, 1,784.65 and 449.64

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Solution

The fourth proportional to 1,189.95, 1,784.65 and 449.64 is: 674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.95 : 1,784.65 = 449.64 : x
  2. Step 2: Convert to fraction form
    1,189.95/1,784.65 = 449.64/x
  3. Step 3: Cross multiply
    1,189.95x = 1,784.65 × 449.64
  4. Step 4: Simplify right side
    1,189.95x = 802,450.17
  5. Step 5: Solve for x
    x = 802,450.17/1,189.95
  6. Step 6: Final answer
    x = 674.36

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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.