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Finding the Fourth Proportional to 783.19, 1,173.81 and 685.48

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Solution

The fourth proportional to 783.19, 1,173.81 and 685.48 is: 1,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.19 : 1,173.81 = 685.48 : x
  2. Step 2: Convert to fraction form
    783.19/1,173.81 = 685.48/x
  3. Step 3: Cross multiply
    783.19x = 1,173.81 × 685.48
  4. Step 4: Simplify right side
    783.19x = 804,623.28
  5. Step 5: Solve for x
    x = 804,623.28/783.19
  6. Step 6: Final answer
    x = 1,027.37

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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.