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Finding the Fourth Proportional to 983.78, 1,356.16 and 629.65

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Solution

The fourth proportional to 983.78, 1,356.16 and 629.65 is: 867.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.78 : 1,356.16 = 629.65 : x
  2. Step 2: Convert to fraction form
    983.78/1,356.16 = 629.65/x
  3. Step 3: Cross multiply
    983.78x = 1,356.16 × 629.65
  4. Step 4: Simplify right side
    983.78x = 853,906.14
  5. Step 5: Solve for x
    x = 853,906.14/983.78
  6. Step 6: Final answer
    x = 867.98

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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.