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Finding the Fourth Proportional to 1,016.13, 1,400.98 and 829.43

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Solution

The fourth proportional to 1,016.13, 1,400.98 and 829.43 is: 1,143.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.13 : 1,400.98 = 829.43 : x
  2. Step 2: Convert to fraction form
    1,016.13/1,400.98 = 829.43/x
  3. Step 3: Cross multiply
    1,016.13x = 1,400.98 × 829.43
  4. Step 4: Simplify right side
    1,016.13x = 1,162,014.84
  5. Step 5: Solve for x
    x = 1,162,014.84/1,016.13
  6. Step 6: Final answer
    x = 1,143.57

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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.