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Finding the Fourth Proportional to 1,679.53, 2,317.79 and 1,016.60

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Solution

The fourth proportional to 1,679.53, 2,317.79 and 1,016.60 is: 1,402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.53 : 2,317.79 = 1,016.60 : x
  2. Step 2: Convert to fraction form
    1,679.53/2,317.79 = 1,016.60/x
  3. Step 3: Cross multiply
    1,679.53x = 2,317.79 × 1,016.60
  4. Step 4: Simplify right side
    1,679.53x = 2,356,260.23
  5. Step 5: Solve for x
    x = 2,356,260.23/1,679.53
  6. Step 6: Final answer
    x = 1,402.93

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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.