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Finding the Fourth Proportional to 454.68, 683.20 and 387.82

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Solution

The fourth proportional to 454.68, 683.20 and 387.82 is: 582.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.68 : 683.20 = 387.82 : x
  2. Step 2: Convert to fraction form
    454.68/683.20 = 387.82/x
  3. Step 3: Cross multiply
    454.68x = 683.20 × 387.82
  4. Step 4: Simplify right side
    454.68x = 264,959.96
  5. Step 5: Solve for x
    x = 264,959.96/454.68
  6. Step 6: Final answer
    x = 582.74

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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.