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Finding the Fourth Proportional to 741.32, 1,111 and 350.78

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Solution

The fourth proportional to 741.32, 1,111 and 350.78 is: 525.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.32 : 1,111 = 350.78 : x
  2. Step 2: Convert to fraction form
    741.32/1,111 = 350.78/x
  3. Step 3: Cross multiply
    741.32x = 1,111 × 350.78
  4. Step 4: Simplify right side
    741.32x = 389,716.58
  5. Step 5: Solve for x
    x = 389,716.58/741.32
  6. Step 6: Final answer
    x = 525.71

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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.