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Finding the Fourth Proportional to 1,071.21, 1,604.08 and 949.11

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Solution

The fourth proportional to 1,071.21, 1,604.08 and 949.11 is: 1,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.21 : 1,604.08 = 949.11 : x
  2. Step 2: Convert to fraction form
    1,071.21/1,604.08 = 949.11/x
  3. Step 3: Cross multiply
    1,071.21x = 1,604.08 × 949.11
  4. Step 4: Simplify right side
    1,071.21x = 1,522,448.37
  5. Step 5: Solve for x
    x = 1,522,448.37/1,071.21
  6. Step 6: Final answer
    x = 1,421.24

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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.