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Finding the Fourth Proportional to 1,485.44, 2,239.44 and 1,406.06

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Solution

The fourth proportional to 1,485.44, 2,239.44 and 1,406.06 is: 2,119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.44 : 2,239.44 = 1,406.06 : x
  2. Step 2: Convert to fraction form
    1,485.44/2,239.44 = 1,406.06/x
  3. Step 3: Cross multiply
    1,485.44x = 2,239.44 × 1,406.06
  4. Step 4: Simplify right side
    1,485.44x = 3,148,787.01
  5. Step 5: Solve for x
    x = 3,148,787.01/1,485.44
  6. Step 6: Final answer
    x = 2,119.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.