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Finding the Fourth Proportional to 1,661.22, 2,492.26 and 621.23

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Solution

The fourth proportional to 1,661.22, 2,492.26 and 621.23 is: 932.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.22 : 2,492.26 = 621.23 : x
  2. Step 2: Convert to fraction form
    1,661.22/2,492.26 = 621.23/x
  3. Step 3: Cross multiply
    1,661.22x = 2,492.26 × 621.23
  4. Step 4: Simplify right side
    1,661.22x = 1,548,266.68
  5. Step 5: Solve for x
    x = 1,548,266.68/1,661.22
  6. Step 6: Final answer
    x = 932.01

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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.