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Finding the Fourth Proportional to 578.86, 799.48 and 383.24

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Solution

The fourth proportional to 578.86, 799.48 and 383.24 is: 529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.86 : 799.48 = 383.24 : x
  2. Step 2: Convert to fraction form
    578.86/799.48 = 383.24/x
  3. Step 3: Cross multiply
    578.86x = 799.48 × 383.24
  4. Step 4: Simplify right side
    578.86x = 306,392.72
  5. Step 5: Solve for x
    x = 306,392.72/578.86
  6. Step 6: Final answer
    x = 529.30

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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.