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Finding the Fourth Proportional to 490.68, 676.71 and 380.07

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Solution

The fourth proportional to 490.68, 676.71 and 380.07 is: 524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.68 : 676.71 = 380.07 : x
  2. Step 2: Convert to fraction form
    490.68/676.71 = 380.07/x
  3. Step 3: Cross multiply
    490.68x = 676.71 × 380.07
  4. Step 4: Simplify right side
    490.68x = 257,197.17
  5. Step 5: Solve for x
    x = 257,197.17/490.68
  6. Step 6: Final answer
    x = 524.16

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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.