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Finding the Fourth Proportional to 431.99, 594.47 and 382.97

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Solution

The fourth proportional to 431.99, 594.47 and 382.97 is: 527.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.99 : 594.47 = 382.97 : x
  2. Step 2: Convert to fraction form
    431.99/594.47 = 382.97/x
  3. Step 3: Cross multiply
    431.99x = 594.47 × 382.97
  4. Step 4: Simplify right side
    431.99x = 227,662.26
  5. Step 5: Solve for x
    x = 227,662.26/431.99
  6. Step 6: Final answer
    x = 527.01

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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.