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Finding the Fourth Proportional to 829.47, 1,144.62 and 456.39

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Solution

The fourth proportional to 829.47, 1,144.62 and 456.39 is: 629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.47 : 1,144.62 = 456.39 : x
  2. Step 2: Convert to fraction form
    829.47/1,144.62 = 456.39/x
  3. Step 3: Cross multiply
    829.47x = 1,144.62 × 456.39
  4. Step 4: Simplify right side
    829.47x = 522,393.12
  5. Step 5: Solve for x
    x = 522,393.12/829.47
  6. Step 6: Final answer
    x = 629.79

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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.