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Finding the Fourth Proportional to 429.39, 591.75 and 394.47

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Solution

The fourth proportional to 429.39, 591.75 and 394.47 is: 543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.39 : 591.75 = 394.47 : x
  2. Step 2: Convert to fraction form
    429.39/591.75 = 394.47/x
  3. Step 3: Cross multiply
    429.39x = 591.75 × 394.47
  4. Step 4: Simplify right side
    429.39x = 233,427.62
  5. Step 5: Solve for x
    x = 233,427.62/429.39
  6. Step 6: Final answer
    x = 543.63

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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.