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Finding the Fourth Proportional to 1,662.54, 2,494.29 and 622.86

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Solution

The fourth proportional to 1,662.54, 2,494.29 and 622.86 is: 934.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.54 : 2,494.29 = 622.86 : x
  2. Step 2: Convert to fraction form
    1,662.54/2,494.29 = 622.86/x
  3. Step 3: Cross multiply
    1,662.54x = 2,494.29 × 622.86
  4. Step 4: Simplify right side
    1,662.54x = 1,553,593.47
  5. Step 5: Solve for x
    x = 1,553,593.47/1,662.54
  6. Step 6: Final answer
    x = 934.47

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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.