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Finding the Fourth Proportional to 1,021.25, 1,409.09 and 648.10

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Solution

The fourth proportional to 1,021.25, 1,409.09 and 648.10 is: 894.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.25 : 1,409.09 = 648.10 : x
  2. Step 2: Convert to fraction form
    1,021.25/1,409.09 = 648.10/x
  3. Step 3: Cross multiply
    1,021.25x = 1,409.09 × 648.10
  4. Step 4: Simplify right side
    1,021.25x = 913,229.75
  5. Step 5: Solve for x
    x = 913,229.75/1,021.25
  6. Step 6: Final answer
    x = 894.23

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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.