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Finding the Fourth Proportional to 783.28, 1,081.38 and 547.37

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Solution

The fourth proportional to 783.28, 1,081.38 and 547.37 is: 755.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.28 : 1,081.38 = 547.37 : x
  2. Step 2: Convert to fraction form
    783.28/1,081.38 = 547.37/x
  3. Step 3: Cross multiply
    783.28x = 1,081.38 × 547.37
  4. Step 4: Simplify right side
    783.28x = 591,914.97
  5. Step 5: Solve for x
    x = 591,914.97/783.28
  6. Step 6: Final answer
    x = 755.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.