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Finding the Fourth Proportional to 444.90, 613.64 and 385.78

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Solution

The fourth proportional to 444.90, 613.64 and 385.78 is: 532.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.90 : 613.64 = 385.78 : x
  2. Step 2: Convert to fraction form
    444.90/613.64 = 385.78/x
  3. Step 3: Cross multiply
    444.90x = 613.64 × 385.78
  4. Step 4: Simplify right side
    444.90x = 236,726.01
  5. Step 5: Solve for x
    x = 236,726.01/444.90
  6. Step 6: Final answer
    x = 532.09

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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.