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Finding the Fourth Proportional to 445.96, 613.78 and 390.84

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Solution

The fourth proportional to 445.96, 613.78 and 390.84 is: 537.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.96 : 613.78 = 390.84 : x
  2. Step 2: Convert to fraction form
    445.96/613.78 = 390.84/x
  3. Step 3: Cross multiply
    445.96x = 613.78 × 390.84
  4. Step 4: Simplify right side
    445.96x = 239,889.78
  5. Step 5: Solve for x
    x = 239,889.78/445.96
  6. Step 6: Final answer
    x = 537.92

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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.