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Finding the Fourth Proportional to 1,365.37, 2,048.05 and 391.48

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Solution

The fourth proportional to 1,365.37, 2,048.05 and 391.48 is: 587.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.37 : 2,048.05 = 391.48 : x
  2. Step 2: Convert to fraction form
    1,365.37/2,048.05 = 391.48/x
  3. Step 3: Cross multiply
    1,365.37x = 2,048.05 × 391.48
  4. Step 4: Simplify right side
    1,365.37x = 801,765.98
  5. Step 5: Solve for x
    x = 801,765.98/1,365.37
  6. Step 6: Final answer
    x = 587.22

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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.