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Finding the Fourth Proportional to 746.73, 1,119.94 and 259.92

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Solution

The fourth proportional to 746.73, 1,119.94 and 259.92 is: 389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.73 : 1,119.94 = 259.92 : x
  2. Step 2: Convert to fraction form
    746.73/1,119.94 = 259.92/x
  3. Step 3: Cross multiply
    746.73x = 1,119.94 × 259.92
  4. Step 4: Simplify right side
    746.73x = 291,094.80
  5. Step 5: Solve for x
    x = 291,094.80/746.73
  6. Step 6: Final answer
    x = 389.83

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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.