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Finding the Fourth Proportional to 1,268.04, 1,750.40 and 802.20

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Solution

The fourth proportional to 1,268.04, 1,750.40 and 802.20 is: 1,107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.04 : 1,750.40 = 802.20 : x
  2. Step 2: Convert to fraction form
    1,268.04/1,750.40 = 802.20/x
  3. Step 3: Cross multiply
    1,268.04x = 1,750.40 × 802.20
  4. Step 4: Simplify right side
    1,268.04x = 1,404,170.88
  5. Step 5: Solve for x
    x = 1,404,170.88/1,268.04
  6. Step 6: Final answer
    x = 1,107.36

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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.