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Finding the Fourth Proportional to 429.08, 591.82 and 378.86

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Solution

The fourth proportional to 429.08, 591.82 and 378.86 is: 522.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.08 : 591.82 = 378.86 : x
  2. Step 2: Convert to fraction form
    429.08/591.82 = 378.86/x
  3. Step 3: Cross multiply
    429.08x = 591.82 × 378.86
  4. Step 4: Simplify right side
    429.08x = 224,216.93
  5. Step 5: Solve for x
    x = 224,216.93/429.08
  6. Step 6: Final answer
    x = 522.55

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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.