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Finding the Fourth Proportional to 1,016.25, 1,403.36 and 817.12

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Solution

The fourth proportional to 1,016.25, 1,403.36 and 817.12 is: 1,128.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.25 : 1,403.36 = 817.12 : x
  2. Step 2: Convert to fraction form
    1,016.25/1,403.36 = 817.12/x
  3. Step 3: Cross multiply
    1,016.25x = 1,403.36 × 817.12
  4. Step 4: Simplify right side
    1,016.25x = 1,146,712.06
  5. Step 5: Solve for x
    x = 1,146,712.06/1,016.25
  6. Step 6: Final answer
    x = 1,128.38

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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.