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Finding the Fourth Proportional to 829.21, 1,144.22 and 475.06

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Solution

The fourth proportional to 829.21, 1,144.22 and 475.06 is: 655.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.21 : 1,144.22 = 475.06 : x
  2. Step 2: Convert to fraction form
    829.21/1,144.22 = 475.06/x
  3. Step 3: Cross multiply
    829.21x = 1,144.22 × 475.06
  4. Step 4: Simplify right side
    829.21x = 543,576.36
  5. Step 5: Solve for x
    x = 543,576.36/829.21
  6. Step 6: Final answer
    x = 655.54

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Double scale
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1.5x scale

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.