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Finding the Fourth Proportional to 983.05, 1,475.25 and 654.37

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Solution

The fourth proportional to 983.05, 1,475.25 and 654.37 is: 982.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.05 : 1,475.25 = 654.37 : x
  2. Step 2: Convert to fraction form
    983.05/1,475.25 = 654.37/x
  3. Step 3: Cross multiply
    983.05x = 1,475.25 × 654.37
  4. Step 4: Simplify right side
    983.05x = 965,359.34
  5. Step 5: Solve for x
    x = 965,359.34/983.05
  6. Step 6: Final answer
    x = 982.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.