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Finding the Fourth Proportional to 660.97, 911.38 and 536.25

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Solution

The fourth proportional to 660.97, 911.38 and 536.25 is: 739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.97 : 911.38 = 536.25 : x
  2. Step 2: Convert to fraction form
    660.97/911.38 = 536.25/x
  3. Step 3: Cross multiply
    660.97x = 911.38 × 536.25
  4. Step 4: Simplify right side
    660.97x = 488,721.63
  5. Step 5: Solve for x
    x = 488,721.63/660.97
  6. Step 6: Final answer
    x = 739.40

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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.