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Finding the Fourth Proportional to 756.98, 1,135.48 and 270.06

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Solution

The fourth proportional to 756.98, 1,135.48 and 270.06 is: 405.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.98 : 1,135.48 = 270.06 : x
  2. Step 2: Convert to fraction form
    756.98/1,135.48 = 270.06/x
  3. Step 3: Cross multiply
    756.98x = 1,135.48 × 270.06
  4. Step 4: Simplify right side
    756.98x = 306,647.73
  5. Step 5: Solve for x
    x = 306,647.73/756.98
  6. Step 6: Final answer
    x = 405.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.