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Finding the Fourth Proportional to 783.94, 1,181.92 and 731.08

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Solution

The fourth proportional to 783.94, 1,181.92 and 731.08 is: 1,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.94 : 1,181.92 = 731.08 : x
  2. Step 2: Convert to fraction form
    783.94/1,181.92 = 731.08/x
  3. Step 3: Cross multiply
    783.94x = 1,181.92 × 731.08
  4. Step 4: Simplify right side
    783.94x = 864,078.07
  5. Step 5: Solve for x
    x = 864,078.07/783.94
  6. Step 6: Final answer
    x = 1,102.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.