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Finding the Fourth Proportional to 720.51, 1,083.37 and 663.42

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Solution

The fourth proportional to 720.51, 1,083.37 and 663.42 is: 997.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.51 : 1,083.37 = 663.42 : x
  2. Step 2: Convert to fraction form
    720.51/1,083.37 = 663.42/x
  3. Step 3: Cross multiply
    720.51x = 1,083.37 × 663.42
  4. Step 4: Simplify right side
    720.51x = 718,729.33
  5. Step 5: Solve for x
    x = 718,729.33/720.51
  6. Step 6: Final answer
    x = 997.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.