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Finding the Fourth Proportional to 1,066.40, 1,599.55 and 449.21

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Solution

The fourth proportional to 1,066.40, 1,599.55 and 449.21 is: 673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.40 : 1,599.55 = 449.21 : x
  2. Step 2: Convert to fraction form
    1,066.40/1,599.55 = 449.21/x
  3. Step 3: Cross multiply
    1,066.40x = 1,599.55 × 449.21
  4. Step 4: Simplify right side
    1,066.40x = 718,536.73
  5. Step 5: Solve for x
    x = 718,536.73/1,066.40
  6. Step 6: Final answer
    x = 673.80

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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.