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Finding the Fourth Proportional to 829.99, 1,144.86 and 617.11

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Solution

The fourth proportional to 829.99, 1,144.86 and 617.11 is: 851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.99 : 1,144.86 = 617.11 : x
  2. Step 2: Convert to fraction form
    829.99/1,144.86 = 617.11/x
  3. Step 3: Cross multiply
    829.99x = 1,144.86 × 617.11
  4. Step 4: Simplify right side
    829.99x = 706,504.55
  5. Step 5: Solve for x
    x = 706,504.55/829.99
  6. Step 6: Final answer
    x = 851.22

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Double scale
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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.