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Finding the Fourth Proportional to 656.70, 905.49 and 490.56

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Solution

The fourth proportional to 656.70, 905.49 and 490.56 is: 676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.70 : 905.49 = 490.56 : x
  2. Step 2: Convert to fraction form
    656.70/905.49 = 490.56/x
  3. Step 3: Cross multiply
    656.70x = 905.49 × 490.56
  4. Step 4: Simplify right side
    656.70x = 444,197.17
  5. Step 5: Solve for x
    x = 444,197.17/656.70
  6. Step 6: Final answer
    x = 676.41

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1.5x scale

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.