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Finding the Fourth Proportional to 984.60, 1,359.38 and 611.98

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Solution

The fourth proportional to 984.60, 1,359.38 and 611.98 is: 844.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.60 : 1,359.38 = 611.98 : x
  2. Step 2: Convert to fraction form
    984.60/1,359.38 = 611.98/x
  3. Step 3: Cross multiply
    984.60x = 1,359.38 × 611.98
  4. Step 4: Simplify right side
    984.60x = 831,913.37
  5. Step 5: Solve for x
    x = 831,913.37/984.60
  6. Step 6: Final answer
    x = 844.93

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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.