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Finding the Fourth Proportional to 609.87, 910.28 and 536.97

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Solution

The fourth proportional to 609.87, 910.28 and 536.97 is: 801.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.87 : 910.28 = 536.97 : x
  2. Step 2: Convert to fraction form
    609.87/910.28 = 536.97/x
  3. Step 3: Cross multiply
    609.87x = 910.28 × 536.97
  4. Step 4: Simplify right side
    609.87x = 488,790.37
  5. Step 5: Solve for x
    x = 488,790.37/609.87
  6. Step 6: Final answer
    x = 801.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.