Home / 1,288.70-1,933.26-802.28

Finding the Fourth Proportional to 1,288.70, 1,933.26 and 802.28

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Solution

The fourth proportional to 1,288.70, 1,933.26 and 802.28 is: 1,203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.70 : 1,933.26 = 802.28 : x
  2. Step 2: Convert to fraction form
    1,288.70/1,933.26 = 802.28/x
  3. Step 3: Cross multiply
    1,288.70x = 1,933.26 × 802.28
  4. Step 4: Simplify right side
    1,288.70x = 1,551,015.83
  5. Step 5: Solve for x
    x = 1,551,015.83/1,288.70
  6. Step 6: Final answer
    x = 1,203.55

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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.