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Finding the Fourth Proportional to 984.30, 1,469.96 and 847.68

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Solution

The fourth proportional to 984.30, 1,469.96 and 847.68 is: 1,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.30 : 1,469.96 = 847.68 : x
  2. Step 2: Convert to fraction form
    984.30/1,469.96 = 847.68/x
  3. Step 3: Cross multiply
    984.30x = 1,469.96 × 847.68
  4. Step 4: Simplify right side
    984.30x = 1,246,051.45
  5. Step 5: Solve for x
    x = 1,246,051.45/984.30
  6. Step 6: Final answer
    x = 1,265.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.