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Finding the Fourth Proportional to 800.97, 1,201.79 and 436.02

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Solution

The fourth proportional to 800.97, 1,201.79 and 436.02 is: 654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.97 : 1,201.79 = 436.02 : x
  2. Step 2: Convert to fraction form
    800.97/1,201.79 = 436.02/x
  3. Step 3: Cross multiply
    800.97x = 1,201.79 × 436.02
  4. Step 4: Simplify right side
    800.97x = 524,004.48
  5. Step 5: Solve for x
    x = 524,004.48/800.97
  6. Step 6: Final answer
    x = 654.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.