Home / 1,350.80-2,022.14-802.70

Finding the Fourth Proportional to 1,350.80, 2,022.14 and 802.70

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Solution

The fourth proportional to 1,350.80, 2,022.14 and 802.70 is: 1,201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.80 : 2,022.14 = 802.70 : x
  2. Step 2: Convert to fraction form
    1,350.80/2,022.14 = 802.70/x
  3. Step 3: Cross multiply
    1,350.80x = 2,022.14 × 802.70
  4. Step 4: Simplify right side
    1,350.80x = 1,623,171.78
  5. Step 5: Solve for x
    x = 1,623,171.78/1,350.80
  6. Step 6: Final answer
    x = 1,201.64

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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.