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Finding the Fourth Proportional to 656.50, 905.43 and 394.06

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Solution

The fourth proportional to 656.50, 905.43 and 394.06 is: 543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.50 : 905.43 = 394.06 : x
  2. Step 2: Convert to fraction form
    656.50/905.43 = 394.06/x
  3. Step 3: Cross multiply
    656.50x = 905.43 × 394.06
  4. Step 4: Simplify right side
    656.50x = 356,793.75
  5. Step 5: Solve for x
    x = 356,793.75/656.50
  6. Step 6: Final answer
    x = 543.48

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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.