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Finding the Fourth Proportional to 1,722.37, 2,583.25 and 785.10

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Solution

The fourth proportional to 1,722.37, 2,583.25 and 785.10 is: 1,177.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.37 : 2,583.25 = 785.10 : x
  2. Step 2: Convert to fraction form
    1,722.37/2,583.25 = 785.10/x
  3. Step 3: Cross multiply
    1,722.37x = 2,583.25 × 785.10
  4. Step 4: Simplify right side
    1,722.37x = 2,028,109.58
  5. Step 5: Solve for x
    x = 2,028,109.58/1,722.37
  6. Step 6: Final answer
    x = 1,177.51

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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.