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Finding the Fourth Proportional to 742.76, 1,026.29 and 716.48

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Solution

The fourth proportional to 742.76, 1,026.29 and 716.48 is: 989.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.76 : 1,026.29 = 716.48 : x
  2. Step 2: Convert to fraction form
    742.76/1,026.29 = 716.48/x
  3. Step 3: Cross multiply
    742.76x = 1,026.29 × 716.48
  4. Step 4: Simplify right side
    742.76x = 735,312.68
  5. Step 5: Solve for x
    x = 735,312.68/742.76
  6. Step 6: Final answer
    x = 989.97

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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.