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Finding the Fourth Proportional to 1,724.37, 2,586.54 and 684.33

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Solution

The fourth proportional to 1,724.37, 2,586.54 and 684.33 is: 1,026.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.37 : 2,586.54 = 684.33 : x
  2. Step 2: Convert to fraction form
    1,724.37/2,586.54 = 684.33/x
  3. Step 3: Cross multiply
    1,724.37x = 2,586.54 × 684.33
  4. Step 4: Simplify right side
    1,724.37x = 1,770,046.92
  5. Step 5: Solve for x
    x = 1,770,046.92/1,724.37
  6. Step 6: Final answer
    x = 1,026.49

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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.