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Finding the Fourth Proportional to 1,705.58, 2,554.62 and 1,409.73

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Solution

The fourth proportional to 1,705.58, 2,554.62 and 1,409.73 is: 2,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.58 : 2,554.62 = 1,409.73 : x
  2. Step 2: Convert to fraction form
    1,705.58/2,554.62 = 1,409.73/x
  3. Step 3: Cross multiply
    1,705.58x = 2,554.62 × 1,409.73
  4. Step 4: Simplify right side
    1,705.58x = 3,601,324.45
  5. Step 5: Solve for x
    x = 3,601,324.45/1,705.58
  6. Step 6: Final answer
    x = 2,111.50

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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.