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Finding the Fourth Proportional to 712.60, 984.60 and 618.64

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Solution

The fourth proportional to 712.60, 984.60 and 618.64 is: 854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.60 : 984.60 = 618.64 : x
  2. Step 2: Convert to fraction form
    712.60/984.60 = 618.64/x
  3. Step 3: Cross multiply
    712.60x = 984.60 × 618.64
  4. Step 4: Simplify right side
    712.60x = 609,112.94
  5. Step 5: Solve for x
    x = 609,112.94/712.60
  6. Step 6: Final answer
    x = 854.78

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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.