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Finding the Fourth Proportional to 655.00, 982.45 and 284.80

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Solution

The fourth proportional to 655.00, 982.45 and 284.80 is: 427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.00 : 982.45 = 284.80 : x
  2. Step 2: Convert to fraction form
    655.00/982.45 = 284.80/x
  3. Step 3: Cross multiply
    655.00x = 982.45 × 284.80
  4. Step 4: Simplify right side
    655.00x = 279,802.30
  5. Step 5: Solve for x
    x = 279,802.30/655.00
  6. Step 6: Final answer
    x = 427.18

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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.