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Finding the Fourth Proportional to 656.14, 905.49 and 394.18

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Solution

The fourth proportional to 656.14, 905.49 and 394.18 is: 543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.14 : 905.49 = 394.18 : x
  2. Step 2: Convert to fraction form
    656.14/905.49 = 394.18/x
  3. Step 3: Cross multiply
    656.14x = 905.49 × 394.18
  4. Step 4: Simplify right side
    656.14x = 356,926.05
  5. Step 5: Solve for x
    x = 356,926.05/656.14
  6. Step 6: Final answer
    x = 543.98

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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.