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Finding the Fourth Proportional to 783.63, 1,086.36 and 742.02

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Solution

The fourth proportional to 783.63, 1,086.36 and 742.02 is: 1,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.63 : 1,086.36 = 742.02 : x
  2. Step 2: Convert to fraction form
    783.63/1,086.36 = 742.02/x
  3. Step 3: Cross multiply
    783.63x = 1,086.36 × 742.02
  4. Step 4: Simplify right side
    783.63x = 806,100.85
  5. Step 5: Solve for x
    x = 806,100.85/783.63
  6. Step 6: Final answer
    x = 1,028.68

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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.