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Finding the Fourth Proportional to 745.89, 1,121.48 and 682.98

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Solution

The fourth proportional to 745.89, 1,121.48 and 682.98 is: 1,026.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.89 : 1,121.48 = 682.98 : x
  2. Step 2: Convert to fraction form
    745.89/1,121.48 = 682.98/x
  3. Step 3: Cross multiply
    745.89x = 1,121.48 × 682.98
  4. Step 4: Simplify right side
    745.89x = 765,945.00
  5. Step 5: Solve for x
    x = 765,945.00/745.89
  6. Step 6: Final answer
    x = 1,026.89

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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.