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Finding the Fourth Proportional to 1,221.01, 1,685.20 and 1,180.51

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Solution

The fourth proportional to 1,221.01, 1,685.20 and 1,180.51 is: 1,629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.01 : 1,685.20 = 1,180.51 : x
  2. Step 2: Convert to fraction form
    1,221.01/1,685.20 = 1,180.51/x
  3. Step 3: Cross multiply
    1,221.01x = 1,685.20 × 1,180.51
  4. Step 4: Simplify right side
    1,221.01x = 1,989,395.45
  5. Step 5: Solve for x
    x = 1,989,395.45/1,221.01
  6. Step 6: Final answer
    x = 1,629.30

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Double scale
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1.5x scale

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.