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Finding the Fourth Proportional to 1,016.82, 1,403.21 and 551.07

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Solution

The fourth proportional to 1,016.82, 1,403.21 and 551.07 is: 760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.82 : 1,403.21 = 551.07 : x
  2. Step 2: Convert to fraction form
    1,016.82/1,403.21 = 551.07/x
  3. Step 3: Cross multiply
    1,016.82x = 1,403.21 × 551.07
  4. Step 4: Simplify right side
    1,016.82x = 773,257.16
  5. Step 5: Solve for x
    x = 773,257.16/1,016.82
  6. Step 6: Final answer
    x = 760.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.