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Finding the Fourth Proportional to 982.08, 1,473.75 and 405

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Solution

The fourth proportional to 982.08, 1,473.75 and 405 is: 607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.08 : 1,473.75 = 405 : x
  2. Step 2: Convert to fraction form
    982.08/1,473.75 = 405/x
  3. Step 3: Cross multiply
    982.08x = 1,473.75 × 405
  4. Step 4: Simplify right side
    982.08x = 596,868.75
  5. Step 5: Solve for x
    x = 596,868.75/982.08
  6. Step 6: Final answer
    x = 607.76

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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.