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Finding the Fourth Proportional to 770.82, 1,063.63 and 490.94

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Solution

The fourth proportional to 770.82, 1,063.63 and 490.94 is: 677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.82 : 1,063.63 = 490.94 : x
  2. Step 2: Convert to fraction form
    770.82/1,063.63 = 490.94/x
  3. Step 3: Cross multiply
    770.82x = 1,063.63 × 490.94
  4. Step 4: Simplify right side
    770.82x = 522,174.80
  5. Step 5: Solve for x
    x = 522,174.80/770.82
  6. Step 6: Final answer
    x = 677.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.