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Finding the Fourth Proportional to 659.97, 910.23 and 426.69

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Solution

The fourth proportional to 659.97, 910.23 and 426.69 is: 588.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.97 : 910.23 = 426.69 : x
  2. Step 2: Convert to fraction form
    659.97/910.23 = 426.69/x
  3. Step 3: Cross multiply
    659.97x = 910.23 × 426.69
  4. Step 4: Simplify right side
    659.97x = 388,386.04
  5. Step 5: Solve for x
    x = 388,386.04/659.97
  6. Step 6: Final answer
    x = 588.49

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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.