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Finding the Fourth Proportional to 431.84, 644.45 and 385.71

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Solution

The fourth proportional to 431.84, 644.45 and 385.71 is: 575.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.84 : 644.45 = 385.71 : x
  2. Step 2: Convert to fraction form
    431.84/644.45 = 385.71/x
  3. Step 3: Cross multiply
    431.84x = 644.45 × 385.71
  4. Step 4: Simplify right side
    431.84x = 248,571.99
  5. Step 5: Solve for x
    x = 248,571.99/431.84
  6. Step 6: Final answer
    x = 575.61

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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.