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Finding the Fourth Proportional to 1,359.37, 2,039.06 and 385.48

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Solution

The fourth proportional to 1,359.37, 2,039.06 and 385.48 is: 578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.37 : 2,039.06 = 385.48 : x
  2. Step 2: Convert to fraction form
    1,359.37/2,039.06 = 385.48/x
  3. Step 3: Cross multiply
    1,359.37x = 2,039.06 × 385.48
  4. Step 4: Simplify right side
    1,359.37x = 786,016.85
  5. Step 5: Solve for x
    x = 786,016.85/1,359.37
  6. Step 6: Final answer
    x = 578.22

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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.