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Finding the Fourth Proportional to 654.77, 982.08 and 410.55

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Solution

The fourth proportional to 654.77, 982.08 and 410.55 is: 615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.77 : 982.08 = 410.55 : x
  2. Step 2: Convert to fraction form
    654.77/982.08 = 410.55/x
  3. Step 3: Cross multiply
    654.77x = 982.08 × 410.55
  4. Step 4: Simplify right side
    654.77x = 403,192.94
  5. Step 5: Solve for x
    x = 403,192.94/654.77
  6. Step 6: Final answer
    x = 615.78

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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.