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Finding the Fourth Proportional to 578.75, 868.13 and 362.75

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Solution

The fourth proportional to 578.75, 868.13 and 362.75 is: 544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.75 : 868.13 = 362.75 : x
  2. Step 2: Convert to fraction form
    578.75/868.13 = 362.75/x
  3. Step 3: Cross multiply
    578.75x = 868.13 × 362.75
  4. Step 4: Simplify right side
    578.75x = 314,914.16
  5. Step 5: Solve for x
    x = 314,914.16/578.75
  6. Step 6: Final answer
    x = 544.13

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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.