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Finding the Fourth Proportional to 656.54, 905.27 and 490.47

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Solution

The fourth proportional to 656.54, 905.27 and 490.47 is: 676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.54 : 905.27 = 490.47 : x
  2. Step 2: Convert to fraction form
    656.54/905.27 = 490.47/x
  3. Step 3: Cross multiply
    656.54x = 905.27 × 490.47
  4. Step 4: Simplify right side
    656.54x = 444,000.80
  5. Step 5: Solve for x
    x = 444,000.80/656.54
  6. Step 6: Final answer
    x = 676.28

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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.