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Finding the Fourth Proportional to 984.60, 1,358.74 and 591.85

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Solution

The fourth proportional to 984.60, 1,358.74 and 591.85 is: 816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.60 : 1,358.74 = 591.85 : x
  2. Step 2: Convert to fraction form
    984.60/1,358.74 = 591.85/x
  3. Step 3: Cross multiply
    984.60x = 1,358.74 × 591.85
  4. Step 4: Simplify right side
    984.60x = 804,170.27
  5. Step 5: Solve for x
    x = 804,170.27/984.60
  6. Step 6: Final answer
    x = 816.75

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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.