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Finding the Fourth Proportional to 578.75, 867.87 and 448.90

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Solution

The fourth proportional to 578.75, 867.87 and 448.90 is: 673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.75 : 867.87 = 448.90 : x
  2. Step 2: Convert to fraction form
    578.75/867.87 = 448.90/x
  3. Step 3: Cross multiply
    578.75x = 867.87 × 448.90
  4. Step 4: Simplify right side
    578.75x = 389,584.67
  5. Step 5: Solve for x
    x = 389,584.67/578.75
  6. Step 6: Final answer
    x = 673.15

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Why These Related Problems?

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