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Finding the Fourth Proportional to 578.60, 799.15 and 391.77

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Solution

The fourth proportional to 578.60, 799.15 and 391.77 is: 541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.60 : 799.15 = 391.77 : x
  2. Step 2: Convert to fraction form
    578.60/799.15 = 391.77/x
  3. Step 3: Cross multiply
    578.60x = 799.15 × 391.77
  4. Step 4: Simplify right side
    578.60x = 313,079.98
  5. Step 5: Solve for x
    x = 313,079.98/578.60
  6. Step 6: Final answer
    x = 541.10

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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.