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Finding the Fourth Proportional to 659.44, 910.04 and 426.96

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Solution

The fourth proportional to 659.44, 910.04 and 426.96 is: 589.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.44 : 910.04 = 426.96 : x
  2. Step 2: Convert to fraction form
    659.44/910.04 = 426.96/x
  3. Step 3: Cross multiply
    659.44x = 910.04 × 426.96
  4. Step 4: Simplify right side
    659.44x = 388,550.68
  5. Step 5: Solve for x
    x = 388,550.68/659.44
  6. Step 6: Final answer
    x = 589.21

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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.