Home / 1,657.98-2,288.67-1,028.64

Finding the Fourth Proportional to 1,657.98, 2,288.67 and 1,028.64

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Solution

The fourth proportional to 1,657.98, 2,288.67 and 1,028.64 is: 1,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.98 : 2,288.67 = 1,028.64 : x
  2. Step 2: Convert to fraction form
    1,657.98/2,288.67 = 1,028.64/x
  3. Step 3: Cross multiply
    1,657.98x = 2,288.67 × 1,028.64
  4. Step 4: Simplify right side
    1,657.98x = 2,354,217.51
  5. Step 5: Solve for x
    x = 2,354,217.51/1,657.98
  6. Step 6: Final answer
    x = 1,419.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.