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Finding the Fourth Proportional to 982.45, 1,356.09 and 629.32

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Solution

The fourth proportional to 982.45, 1,356.09 and 629.32 is: 868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.45 : 1,356.09 = 629.32 : x
  2. Step 2: Convert to fraction form
    982.45/1,356.09 = 629.32/x
  3. Step 3: Cross multiply
    982.45x = 1,356.09 × 629.32
  4. Step 4: Simplify right side
    982.45x = 853,411.76
  5. Step 5: Solve for x
    x = 853,411.76/982.45
  6. Step 6: Final answer
    x = 868.66

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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.