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Finding the Fourth Proportional to 452, 679.12 and 427.16

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Solution

The fourth proportional to 452, 679.12 and 427.16 is: 641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    452 : 679.12 = 427.16 : x
  2. Step 2: Convert to fraction form
    452/679.12 = 427.16/x
  3. Step 3: Cross multiply
    452x = 679.12 × 427.16
  4. Step 4: Simplify right side
    452x = 290,092.90
  5. Step 5: Solve for x
    x = 290,092.90/452
  6. Step 6: Final answer
    x = 641.80

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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.