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Finding the Fourth Proportional to 1,662.99, 2,494.94 and 493.05

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Solution

The fourth proportional to 1,662.99, 2,494.94 and 493.05 is: 739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.99 : 2,494.94 = 493.05 : x
  2. Step 2: Convert to fraction form
    1,662.99/2,494.94 = 493.05/x
  3. Step 3: Cross multiply
    1,662.99x = 2,494.94 × 493.05
  4. Step 4: Simplify right side
    1,662.99x = 1,230,130.17
  5. Step 5: Solve for x
    x = 1,230,130.17/1,662.99
  6. Step 6: Final answer
    x = 739.71

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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.