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Finding the Fourth Proportional to 1,109.54, 1,658.28 and 1,021.97

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Solution

The fourth proportional to 1,109.54, 1,658.28 and 1,021.97 is: 1,527.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.54 : 1,658.28 = 1,021.97 : x
  2. Step 2: Convert to fraction form
    1,109.54/1,658.28 = 1,021.97/x
  3. Step 3: Cross multiply
    1,109.54x = 1,658.28 × 1,021.97
  4. Step 4: Simplify right side
    1,109.54x = 1,694,704.12
  5. Step 5: Solve for x
    x = 1,694,704.12/1,109.54
  6. Step 6: Final answer
    x = 1,527.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.