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Finding the Fourth Proportional to 659.69, 910.41 and 397.75

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Solution

The fourth proportional to 659.69, 910.41 and 397.75 is: 548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.69 : 910.41 = 397.75 : x
  2. Step 2: Convert to fraction form
    659.69/910.41 = 397.75/x
  3. Step 3: Cross multiply
    659.69x = 910.41 × 397.75
  4. Step 4: Simplify right side
    659.69x = 362,111.03
  5. Step 5: Solve for x
    x = 362,111.03/659.69
  6. Step 6: Final answer
    x = 548.91

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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.