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Finding the Fourth Proportional to 1,072.09, 1,477.74 and 949.06

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Solution

The fourth proportional to 1,072.09, 1,477.74 and 949.06 is: 1,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.09 : 1,477.74 = 949.06 : x
  2. Step 2: Convert to fraction form
    1,072.09/1,477.74 = 949.06/x
  3. Step 3: Cross multiply
    1,072.09x = 1,477.74 × 949.06
  4. Step 4: Simplify right side
    1,072.09x = 1,402,463.92
  5. Step 5: Solve for x
    x = 1,402,463.92/1,072.09
  6. Step 6: Final answer
    x = 1,308.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.