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Finding the Fourth Proportional to 429.03, 591.74 and 289.08

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Solution

The fourth proportional to 429.03, 591.74 and 289.08 is: 398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.03 : 591.74 = 289.08 : x
  2. Step 2: Convert to fraction form
    429.03/591.74 = 289.08/x
  3. Step 3: Cross multiply
    429.03x = 591.74 × 289.08
  4. Step 4: Simplify right side
    429.03x = 171,059.84
  5. Step 5: Solve for x
    x = 171,059.84/429.03
  6. Step 6: Final answer
    x = 398.71

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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.