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Finding the Fourth Proportional to 1,016.54, 1,403.18 and 618.22

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Solution

The fourth proportional to 1,016.54, 1,403.18 and 618.22 is: 853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.54 : 1,403.18 = 618.22 : x
  2. Step 2: Convert to fraction form
    1,016.54/1,403.18 = 618.22/x
  3. Step 3: Cross multiply
    1,016.54x = 1,403.18 × 618.22
  4. Step 4: Simplify right side
    1,016.54x = 867,473.94
  5. Step 5: Solve for x
    x = 867,473.94/1,016.54
  6. Step 6: Final answer
    x = 853.36

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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.