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Finding the Fourth Proportional to 1,200.80, 1,792.48 and 1,055

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Solution

The fourth proportional to 1,200.80, 1,792.48 and 1,055 is: 1,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.80 : 1,792.48 = 1,055 : x
  2. Step 2: Convert to fraction form
    1,200.80/1,792.48 = 1,055/x
  3. Step 3: Cross multiply
    1,200.80x = 1,792.48 × 1,055
  4. Step 4: Simplify right side
    1,200.80x = 1,891,066.40
  5. Step 5: Solve for x
    x = 1,891,066.40/1,200.80
  6. Step 6: Final answer
    x = 1,574.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.