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Finding the Fourth Proportional to 578.05, 797.89 and 548.67

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Solution

The fourth proportional to 578.05, 797.89 and 548.67 is: 757.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.05 : 797.89 = 548.67 : x
  2. Step 2: Convert to fraction form
    578.05/797.89 = 548.67/x
  3. Step 3: Cross multiply
    578.05x = 797.89 × 548.67
  4. Step 4: Simplify right side
    578.05x = 437,778.31
  5. Step 5: Solve for x
    x = 437,778.31/578.05
  6. Step 6: Final answer
    x = 757.34

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1.5x scale

Why These Related Problems?

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