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Finding the Fourth Proportional to 983.39, 1,357.10 and 563.73

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Solution

The fourth proportional to 983.39, 1,357.10 and 563.73 is: 777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.39 : 1,357.10 = 563.73 : x
  2. Step 2: Convert to fraction form
    983.39/1,357.10 = 563.73/x
  3. Step 3: Cross multiply
    983.39x = 1,357.10 × 563.73
  4. Step 4: Simplify right side
    983.39x = 765,035.16
  5. Step 5: Solve for x
    x = 765,035.16/983.39
  6. Step 6: Final answer
    x = 777.96

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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.