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Finding the Fourth Proportional to 829.33, 1,144.51 and 456.34

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Solution

The fourth proportional to 829.33, 1,144.51 and 456.34 is: 629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.33 : 1,144.51 = 456.34 : x
  2. Step 2: Convert to fraction form
    829.33/1,144.51 = 456.34/x
  3. Step 3: Cross multiply
    829.33x = 1,144.51 × 456.34
  4. Step 4: Simplify right side
    829.33x = 522,287.70
  5. Step 5: Solve for x
    x = 522,287.70/829.33
  6. Step 6: Final answer
    x = 629.77

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Half scale
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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.