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Finding the Fourth Proportional to 559.25, 770.90 and 440.94

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Solution

The fourth proportional to 559.25, 770.90 and 440.94 is: 607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.25 : 770.90 = 440.94 : x
  2. Step 2: Convert to fraction form
    559.25/770.90 = 440.94/x
  3. Step 3: Cross multiply
    559.25x = 770.90 × 440.94
  4. Step 4: Simplify right side
    559.25x = 339,918.44
  5. Step 5: Solve for x
    x = 339,918.44/559.25
  6. Step 6: Final answer
    x = 607.82

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