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Finding the Fourth Proportional to 1,016.03, 1,400.68 and 721.19

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Solution

The fourth proportional to 1,016.03, 1,400.68 and 721.19 is: 994.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.03 : 1,400.68 = 721.19 : x
  2. Step 2: Convert to fraction form
    1,016.03/1,400.68 = 721.19/x
  3. Step 3: Cross multiply
    1,016.03x = 1,400.68 × 721.19
  4. Step 4: Simplify right side
    1,016.03x = 1,010,156.41
  5. Step 5: Solve for x
    x = 1,010,156.41/1,016.03
  6. Step 6: Final answer
    x = 994.22

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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.