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Finding the Fourth Proportional to 982.78, 1,353.55 and 733.67

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Solution

The fourth proportional to 982.78, 1,353.55 and 733.67 is: 1,010.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.78 : 1,353.55 = 733.67 : x
  2. Step 2: Convert to fraction form
    982.78/1,353.55 = 733.67/x
  3. Step 3: Cross multiply
    982.78x = 1,353.55 × 733.67
  4. Step 4: Simplify right side
    982.78x = 993,057.75
  5. Step 5: Solve for x
    x = 993,057.75/982.78
  6. Step 6: Final answer
    x = 1,010.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.