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Finding the Fourth Proportional to 654.67, 982.23 and 410.91

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Solution

The fourth proportional to 654.67, 982.23 and 410.91 is: 616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.67 : 982.23 = 410.91 : x
  2. Step 2: Convert to fraction form
    654.67/982.23 = 410.91/x
  3. Step 3: Cross multiply
    654.67x = 982.23 × 410.91
  4. Step 4: Simplify right side
    654.67x = 403,608.13
  5. Step 5: Solve for x
    x = 403,608.13/654.67
  6. Step 6: Final answer
    x = 616.51

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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.