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Finding the Fourth Proportional to 477.20, 657.78 and 394.04

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Solution

The fourth proportional to 477.20, 657.78 and 394.04 is: 543.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.20 : 657.78 = 394.04 : x
  2. Step 2: Convert to fraction form
    477.20/657.78 = 394.04/x
  3. Step 3: Cross multiply
    477.20x = 657.78 × 394.04
  4. Step 4: Simplify right side
    477.20x = 259,191.63
  5. Step 5: Solve for x
    x = 259,191.63/477.20
  6. Step 6: Final answer
    x = 543.15

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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.