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Finding the Fourth Proportional to 981.21, 1,469.73 and 633.32

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Solution

The fourth proportional to 981.21, 1,469.73 and 633.32 is: 948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.21 : 1,469.73 = 633.32 : x
  2. Step 2: Convert to fraction form
    981.21/1,469.73 = 633.32/x
  3. Step 3: Cross multiply
    981.21x = 1,469.73 × 633.32
  4. Step 4: Simplify right side
    981.21x = 930,802.05
  5. Step 5: Solve for x
    x = 930,802.05/981.21
  6. Step 6: Final answer
    x = 948.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.