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Finding the Fourth Proportional to 656.97, 906.71 and 391.43

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Solution

The fourth proportional to 656.97, 906.71 and 391.43 is: 540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.97 : 906.71 = 391.43 : x
  2. Step 2: Convert to fraction form
    656.97/906.71 = 391.43/x
  3. Step 3: Cross multiply
    656.97x = 906.71 × 391.43
  4. Step 4: Simplify right side
    656.97x = 354,908.96
  5. Step 5: Solve for x
    x = 354,908.96/656.97
  6. Step 6: Final answer
    x = 540.22

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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.