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Finding the Fourth Proportional to 1,480.80, 2,208.12 and 1,433.28

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Solution

The fourth proportional to 1,480.80, 2,208.12 and 1,433.28 is: 2,137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.80 : 2,208.12 = 1,433.28 : x
  2. Step 2: Convert to fraction form
    1,480.80/2,208.12 = 1,433.28/x
  3. Step 3: Cross multiply
    1,480.80x = 2,208.12 × 1,433.28
  4. Step 4: Simplify right side
    1,480.80x = 3,164,854.23
  5. Step 5: Solve for x
    x = 3,164,854.23/1,480.80
  6. Step 6: Final answer
    x = 2,137.26

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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.