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Finding the Fourth Proportional to 1,679.00, 2,317.23 and 1,016.09

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Solution

The fourth proportional to 1,679.00, 2,317.23 and 1,016.09 is: 1,402.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.00 : 2,317.23 = 1,016.09 : x
  2. Step 2: Convert to fraction form
    1,679.00/2,317.23 = 1,016.09/x
  3. Step 3: Cross multiply
    1,679.00x = 2,317.23 × 1,016.09
  4. Step 4: Simplify right side
    1,679.00x = 2,354,502.64
  5. Step 5: Solve for x
    x = 2,354,502.64/1,679.00
  6. Step 6: Final answer
    x = 1,402.32

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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.