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Finding the Fourth Proportional to 745.70, 1,119.09 and 259.16

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Solution

The fourth proportional to 745.70, 1,119.09 and 259.16 is: 388.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.70 : 1,119.09 = 259.16 : x
  2. Step 2: Convert to fraction form
    745.70/1,119.09 = 259.16/x
  3. Step 3: Cross multiply
    745.70x = 1,119.09 × 259.16
  4. Step 4: Simplify right side
    745.70x = 290,023.36
  5. Step 5: Solve for x
    x = 290,023.36/745.70
  6. Step 6: Final answer
    x = 388.93

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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.