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Finding the Fourth Proportional to 1,602.99, 2,212.81 and 1,079.33

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Solution

The fourth proportional to 1,602.99, 2,212.81 and 1,079.33 is: 1,489.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.99 : 2,212.81 = 1,079.33 : x
  2. Step 2: Convert to fraction form
    1,602.99/2,212.81 = 1,079.33/x
  3. Step 3: Cross multiply
    1,602.99x = 2,212.81 × 1,079.33
  4. Step 4: Simplify right side
    1,602.99x = 2,388,338.45
  5. Step 5: Solve for x
    x = 2,388,338.45/1,602.99
  6. Step 6: Final answer
    x = 1,489.93

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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.