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Finding the Fourth Proportional to 492.27, 677.37 and 478

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Solution

The fourth proportional to 492.27, 677.37 and 478 is: 657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.27 : 677.37 = 478 : x
  2. Step 2: Convert to fraction form
    492.27/677.37 = 478/x
  3. Step 3: Cross multiply
    492.27x = 677.37 × 478
  4. Step 4: Simplify right side
    492.27x = 323,782.86
  5. Step 5: Solve for x
    x = 323,782.86/492.27
  6. Step 6: Final answer
    x = 657.73

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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.