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Finding the Fourth Proportional to 981.54, 1,469.68 and 518.36

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Solution

The fourth proportional to 981.54, 1,469.68 and 518.36 is: 776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.54 : 1,469.68 = 518.36 : x
  2. Step 2: Convert to fraction form
    981.54/1,469.68 = 518.36/x
  3. Step 3: Cross multiply
    981.54x = 1,469.68 × 518.36
  4. Step 4: Simplify right side
    981.54x = 761,814.68
  5. Step 5: Solve for x
    x = 761,814.68/981.54
  6. Step 6: Final answer
    x = 776.14

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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.