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Finding the Fourth Proportional to 1,021.72, 1,409.07 and 667.50

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Solution

The fourth proportional to 1,021.72, 1,409.07 and 667.50 is: 920.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.72 : 1,409.07 = 667.50 : x
  2. Step 2: Convert to fraction form
    1,021.72/1,409.07 = 667.50/x
  3. Step 3: Cross multiply
    1,021.72x = 1,409.07 × 667.50
  4. Step 4: Simplify right side
    1,021.72x = 940,556.73
  5. Step 5: Solve for x
    x = 940,556.73/1,021.72
  6. Step 6: Final answer
    x = 920.56

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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.