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Finding the Fourth Proportional to 1,705.87, 2,558.87 and 828.24

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Solution

The fourth proportional to 1,705.87, 2,558.87 and 828.24 is: 1,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.87 : 2,558.87 = 828.24 : x
  2. Step 2: Convert to fraction form
    1,705.87/2,558.87 = 828.24/x
  3. Step 3: Cross multiply
    1,705.87x = 2,558.87 × 828.24
  4. Step 4: Simplify right side
    1,705.87x = 2,119,358.49
  5. Step 5: Solve for x
    x = 2,119,358.49/1,705.87
  6. Step 6: Final answer
    x = 1,242.39

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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.