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Finding the Fourth Proportional to 743.05, 1,112.82 and 376.93

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Solution

The fourth proportional to 743.05, 1,112.82 and 376.93 is: 564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.05 : 1,112.82 = 376.93 : x
  2. Step 2: Convert to fraction form
    743.05/1,112.82 = 376.93/x
  3. Step 3: Cross multiply
    743.05x = 1,112.82 × 376.93
  4. Step 4: Simplify right side
    743.05x = 419,455.24
  5. Step 5: Solve for x
    x = 419,455.24/743.05
  6. Step 6: Final answer
    x = 564.50

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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.