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Finding the Fourth Proportional to 454.78, 680.73 and 389.17

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Solution

The fourth proportional to 454.78, 680.73 and 389.17 is: 582.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.78 : 680.73 = 389.17 : x
  2. Step 2: Convert to fraction form
    454.78/680.73 = 389.17/x
  3. Step 3: Cross multiply
    454.78x = 680.73 × 389.17
  4. Step 4: Simplify right side
    454.78x = 264,919.69
  5. Step 5: Solve for x
    x = 264,919.69/454.78
  6. Step 6: Final answer
    x = 582.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.