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Finding the Fourth Proportional to 660, 910.02 and 426.72

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Solution

The fourth proportional to 660, 910.02 and 426.72 is: 588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    660 : 910.02 = 426.72 : x
  2. Step 2: Convert to fraction form
    660/910.02 = 426.72/x
  3. Step 3: Cross multiply
    660x = 910.02 × 426.72
  4. Step 4: Simplify right side
    660x = 388,323.73
  5. Step 5: Solve for x
    x = 388,323.73/660
  6. Step 6: Final answer
    x = 588.37

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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.