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Finding the Fourth Proportional to 783.20, 1,173.82 and 685.48

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Solution

The fourth proportional to 783.20, 1,173.82 and 685.48 is: 1,027.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.20 : 1,173.82 = 685.48 : x
  2. Step 2: Convert to fraction form
    783.20/1,173.82 = 685.48/x
  3. Step 3: Cross multiply
    783.20x = 1,173.82 × 685.48
  4. Step 4: Simplify right side
    783.20x = 804,630.13
  5. Step 5: Solve for x
    x = 804,630.13/783.20
  6. Step 6: Final answer
    x = 1,027.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.