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Finding the Fourth Proportional to 1,409.37, 2,114.05 and 369.37

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Solution

The fourth proportional to 1,409.37, 2,114.05 and 369.37 is: 554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.37 : 2,114.05 = 369.37 : x
  2. Step 2: Convert to fraction form
    1,409.37/2,114.05 = 369.37/x
  3. Step 3: Cross multiply
    1,409.37x = 2,114.05 × 369.37
  4. Step 4: Simplify right side
    1,409.37x = 780,856.08
  5. Step 5: Solve for x
    x = 780,856.08/1,409.37
  6. Step 6: Final answer
    x = 554.05

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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.