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Finding the Fourth Proportional to 742.51, 1,025.94 and 716.23

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Solution

The fourth proportional to 742.51, 1,025.94 and 716.23 is: 989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.51 : 1,025.94 = 716.23 : x
  2. Step 2: Convert to fraction form
    742.51/1,025.94 = 716.23/x
  3. Step 3: Cross multiply
    742.51x = 1,025.94 × 716.23
  4. Step 4: Simplify right side
    742.51x = 734,809.01
  5. Step 5: Solve for x
    x = 734,809.01/742.51
  6. Step 6: Final answer
    x = 989.63

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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.