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Finding the Fourth Proportional to 1,723.98, 2,586.60 and 683.40

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Solution

The fourth proportional to 1,723.98, 2,586.60 and 683.40 is: 1,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.98 : 2,586.60 = 683.40 : x
  2. Step 2: Convert to fraction form
    1,723.98/2,586.60 = 683.40/x
  3. Step 3: Cross multiply
    1,723.98x = 2,586.60 × 683.40
  4. Step 4: Simplify right side
    1,723.98x = 1,767,682.44
  5. Step 5: Solve for x
    x = 1,767,682.44/1,723.98
  6. Step 6: Final answer
    x = 1,025.35

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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.