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Finding the Fourth Proportional to 983.73, 1,477.39 and 905.50

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Solution

The fourth proportional to 983.73, 1,477.39 and 905.50 is: 1,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.73 : 1,477.39 = 905.50 : x
  2. Step 2: Convert to fraction form
    983.73/1,477.39 = 905.50/x
  3. Step 3: Cross multiply
    983.73x = 1,477.39 × 905.50
  4. Step 4: Simplify right side
    983.73x = 1,337,776.65
  5. Step 5: Solve for x
    x = 1,337,776.65/983.73
  6. Step 6: Final answer
    x = 1,359.90

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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.