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Finding the Fourth Proportional to 829.36, 1,144.45 and 456.35

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Solution

The fourth proportional to 829.36, 1,144.45 and 456.35 is: 629.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.36 : 1,144.45 = 456.35 : x
  2. Step 2: Convert to fraction form
    829.36/1,144.45 = 456.35/x
  3. Step 3: Cross multiply
    829.36x = 1,144.45 × 456.35
  4. Step 4: Simplify right side
    829.36x = 522,268.48
  5. Step 5: Solve for x
    x = 522,268.48/829.36
  6. Step 6: Final answer
    x = 629.73

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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.