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Finding the Fourth Proportional to 800.06, 1,200.09 and 617.72

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Solution

The fourth proportional to 800.06, 1,200.09 and 617.72 is: 926.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.06 : 1,200.09 = 617.72 : x
  2. Step 2: Convert to fraction form
    800.06/1,200.09 = 617.72/x
  3. Step 3: Cross multiply
    800.06x = 1,200.09 × 617.72
  4. Step 4: Simplify right side
    800.06x = 741,319.59
  5. Step 5: Solve for x
    x = 741,319.59/800.06
  6. Step 6: Final answer
    x = 926.58

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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.