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Finding the Fourth Proportional to 1,108.49, 1,662.63 and 1,021.48

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Solution

The fourth proportional to 1,108.49, 1,662.63 and 1,021.48 is: 1,532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.49 : 1,662.63 = 1,021.48 : x
  2. Step 2: Convert to fraction form
    1,108.49/1,662.63 = 1,021.48/x
  3. Step 3: Cross multiply
    1,108.49x = 1,662.63 × 1,021.48
  4. Step 4: Simplify right side
    1,108.49x = 1,698,335.31
  5. Step 5: Solve for x
    x = 1,698,335.31/1,108.49
  6. Step 6: Final answer
    x = 1,532.12

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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.