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Finding the Fourth Proportional to 783.76, 1,086.53 and 742.14

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Solution

The fourth proportional to 783.76, 1,086.53 and 742.14 is: 1,028.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.76 : 1,086.53 = 742.14 : x
  2. Step 2: Convert to fraction form
    783.76/1,086.53 = 742.14/x
  3. Step 3: Cross multiply
    783.76x = 1,086.53 × 742.14
  4. Step 4: Simplify right side
    783.76x = 806,361.95
  5. Step 5: Solve for x
    x = 806,361.95/783.76
  6. Step 6: Final answer
    x = 1,028.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.