Home / 1,369.40-2,054.23-382.28

Finding the Fourth Proportional to 1,369.40, 2,054.23 and 382.28

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Solution

The fourth proportional to 1,369.40, 2,054.23 and 382.28 is: 573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.40 : 2,054.23 = 382.28 : x
  2. Step 2: Convert to fraction form
    1,369.40/2,054.23 = 382.28/x
  3. Step 3: Cross multiply
    1,369.40x = 2,054.23 × 382.28
  4. Step 4: Simplify right side
    1,369.40x = 785,295.22
  5. Step 5: Solve for x
    x = 785,295.22/1,369.40
  6. Step 6: Final answer
    x = 573.46

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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.