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Finding the Fourth Proportional to 983.49, 1,356.76 and 629.23

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Solution

The fourth proportional to 983.49, 1,356.76 and 629.23 is: 868.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.49 : 1,356.76 = 629.23 : x
  2. Step 2: Convert to fraction form
    983.49/1,356.76 = 629.23/x
  3. Step 3: Cross multiply
    983.49x = 1,356.76 × 629.23
  4. Step 4: Simplify right side
    983.49x = 853,714.09
  5. Step 5: Solve for x
    x = 853,714.09/983.49
  6. Step 6: Final answer
    x = 868.05

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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.