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Finding the Fourth Proportional to 431.77, 644.72 and 339.43

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Solution

The fourth proportional to 431.77, 644.72 and 339.43 is: 506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.77 : 644.72 = 339.43 : x
  2. Step 2: Convert to fraction form
    431.77/644.72 = 339.43/x
  3. Step 3: Cross multiply
    431.77x = 644.72 × 339.43
  4. Step 4: Simplify right side
    431.77x = 218,834.09
  5. Step 5: Solve for x
    x = 218,834.09/431.77
  6. Step 6: Final answer
    x = 506.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.