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Finding the Fourth Proportional to 741.49, 1,111.69 and 376.45

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Solution

The fourth proportional to 741.49, 1,111.69 and 376.45 is: 564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.49 : 1,111.69 = 376.45 : x
  2. Step 2: Convert to fraction form
    741.49/1,111.69 = 376.45/x
  3. Step 3: Cross multiply
    741.49x = 1,111.69 × 376.45
  4. Step 4: Simplify right side
    741.49x = 418,493.39
  5. Step 5: Solve for x
    x = 418,493.39/741.49
  6. Step 6: Final answer
    x = 564.40

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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.