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Finding the Fourth Proportional to 983.17, 1,356.69 and 579.33

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Solution

The fourth proportional to 983.17, 1,356.69 and 579.33 is: 799.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.17 : 1,356.69 = 579.33 : x
  2. Step 2: Convert to fraction form
    983.17/1,356.69 = 579.33/x
  3. Step 3: Cross multiply
    983.17x = 1,356.69 × 579.33
  4. Step 4: Simplify right side
    983.17x = 785,977.75
  5. Step 5: Solve for x
    x = 785,977.75/983.17
  6. Step 6: Final answer
    x = 799.43

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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.