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Finding the Fourth Proportional to 741.39, 1,111.77 and 279.09

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Solution

The fourth proportional to 741.39, 1,111.77 and 279.09 is: 418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.39 : 1,111.77 = 279.09 : x
  2. Step 2: Convert to fraction form
    741.39/1,111.77 = 279.09/x
  3. Step 3: Cross multiply
    741.39x = 1,111.77 × 279.09
  4. Step 4: Simplify right side
    741.39x = 310,283.89
  5. Step 5: Solve for x
    x = 310,283.89/741.39
  6. Step 6: Final answer
    x = 418.52

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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.