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Finding the Fourth Proportional to 829.22, 1,144.31 and 456.19

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Solution

The fourth proportional to 829.22, 1,144.31 and 456.19 is: 629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.22 : 1,144.31 = 456.19 : x
  2. Step 2: Convert to fraction form
    829.22/1,144.31 = 456.19/x
  3. Step 3: Cross multiply
    829.22x = 1,144.31 × 456.19
  4. Step 4: Simplify right side
    829.22x = 522,022.78
  5. Step 5: Solve for x
    x = 522,022.78/829.22
  6. Step 6: Final answer
    x = 629.53

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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.