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Finding the Fourth Proportional to 656.97, 906.68 and 490.89

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Solution

The fourth proportional to 656.97, 906.68 and 490.89 is: 677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.97 : 906.68 = 490.89 : x
  2. Step 2: Convert to fraction form
    656.97/906.68 = 490.89/x
  3. Step 3: Cross multiply
    656.97x = 906.68 × 490.89
  4. Step 4: Simplify right side
    656.97x = 445,077.69
  5. Step 5: Solve for x
    x = 445,077.69/656.97
  6. Step 6: Final answer
    x = 677.48

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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.