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Finding the Fourth Proportional to 741.91, 1,112.94 and 303.07

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Solution

The fourth proportional to 741.91, 1,112.94 and 303.07 is: 454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.91 : 1,112.94 = 303.07 : x
  2. Step 2: Convert to fraction form
    741.91/1,112.94 = 303.07/x
  3. Step 3: Cross multiply
    741.91x = 1,112.94 × 303.07
  4. Step 4: Simplify right side
    741.91x = 337,298.73
  5. Step 5: Solve for x
    x = 337,298.73/741.91
  6. Step 6: Final answer
    x = 454.64

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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.