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Finding the Fourth Proportional to 982.29, 1,472.90 and 461.69

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Solution

The fourth proportional to 982.29, 1,472.90 and 461.69 is: 692.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.29 : 1,472.90 = 461.69 : x
  2. Step 2: Convert to fraction form
    982.29/1,472.90 = 461.69/x
  3. Step 3: Cross multiply
    982.29x = 1,472.90 × 461.69
  4. Step 4: Simplify right side
    982.29x = 680,013.53
  5. Step 5: Solve for x
    x = 680,013.53/982.29
  6. Step 6: Final answer
    x = 692.27

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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.