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Finding the Fourth Proportional to 1,365.75, 2,048.75 and 441.09

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Solution

The fourth proportional to 1,365.75, 2,048.75 and 441.09 is: 661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.75 : 2,048.75 = 441.09 : x
  2. Step 2: Convert to fraction form
    1,365.75/2,048.75 = 441.09/x
  3. Step 3: Cross multiply
    1,365.75x = 2,048.75 × 441.09
  4. Step 4: Simplify right side
    1,365.75x = 903,683.14
  5. Step 5: Solve for x
    x = 903,683.14/1,365.75
  6. Step 6: Final answer
    x = 661.68

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1.5x scale

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.