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Finding the Fourth Proportional to 429.77, 591.78 and 289.83

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Solution

The fourth proportional to 429.77, 591.78 and 289.83 is: 399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.77 : 591.78 = 289.83 : x
  2. Step 2: Convert to fraction form
    429.77/591.78 = 289.83/x
  3. Step 3: Cross multiply
    429.77x = 591.78 × 289.83
  4. Step 4: Simplify right side
    429.77x = 171,515.60
  5. Step 5: Solve for x
    x = 171,515.60/429.77
  6. Step 6: Final answer
    x = 399.09

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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.