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Finding the Fourth Proportional to 655.89, 980.79 and 533.17

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Solution

The fourth proportional to 655.89, 980.79 and 533.17 is: 797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.89 : 980.79 = 533.17 : x
  2. Step 2: Convert to fraction form
    655.89/980.79 = 533.17/x
  3. Step 3: Cross multiply
    655.89x = 980.79 × 533.17
  4. Step 4: Simplify right side
    655.89x = 522,927.80
  5. Step 5: Solve for x
    x = 522,927.80/655.89
  6. Step 6: Final answer
    x = 797.28

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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.