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Finding the Fourth Proportional to 983.11, 1,356.79 and 563.60

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Solution

The fourth proportional to 983.11, 1,356.79 and 563.60 is: 777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.11 : 1,356.79 = 563.60 : x
  2. Step 2: Convert to fraction form
    983.11/1,356.79 = 563.60/x
  3. Step 3: Cross multiply
    983.11x = 1,356.79 × 563.60
  4. Step 4: Simplify right side
    983.11x = 764,678.65
  5. Step 5: Solve for x
    x = 764,678.65/983.11
  6. Step 6: Final answer
    x = 777.82

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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.