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Finding the Fourth Proportional to 982.13, 1,473.20 and 461.81

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Solution

The fourth proportional to 982.13, 1,473.20 and 461.81 is: 692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.13 : 1,473.20 = 461.81 : x
  2. Step 2: Convert to fraction form
    982.13/1,473.20 = 461.81/x
  3. Step 3: Cross multiply
    982.13x = 1,473.20 × 461.81
  4. Step 4: Simplify right side
    982.13x = 680,332.50
  5. Step 5: Solve for x
    x = 680,332.50/982.13
  6. Step 6: Final answer
    x = 692.71

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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.