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Finding the Fourth Proportional to 1,480.25, 2,218.51 and 785.20

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Solution

The fourth proportional to 1,480.25, 2,218.51 and 785.20 is: 1,176.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.25 : 2,218.51 = 785.20 : x
  2. Step 2: Convert to fraction form
    1,480.25/2,218.51 = 785.20/x
  3. Step 3: Cross multiply
    1,480.25x = 2,218.51 × 785.20
  4. Step 4: Simplify right side
    1,480.25x = 1,741,959.03
  5. Step 5: Solve for x
    x = 1,741,959.03/1,480.25
  6. Step 6: Final answer
    x = 1,176.80

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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.