Home / 1,705.10-2,557.65-1,664.60

Finding the Fourth Proportional to 1,705.10, 2,557.65 and 1,664.60

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Solution

The fourth proportional to 1,705.10, 2,557.65 and 1,664.60 is: 2,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.10 : 2,557.65 = 1,664.60 : x
  2. Step 2: Convert to fraction form
    1,705.10/2,557.65 = 1,664.60/x
  3. Step 3: Cross multiply
    1,705.10x = 2,557.65 × 1,664.60
  4. Step 4: Simplify right side
    1,705.10x = 4,257,464.19
  5. Step 5: Solve for x
    x = 4,257,464.19/1,705.10
  6. Step 6: Final answer
    x = 2,496.90

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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.