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Finding the Fourth Proportional to 829.15, 1,144.25 and 456.17

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Solution

The fourth proportional to 829.15, 1,144.25 and 456.17 is: 629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.15 : 1,144.25 = 456.17 : x
  2. Step 2: Convert to fraction form
    829.15/1,144.25 = 456.17/x
  3. Step 3: Cross multiply
    829.15x = 1,144.25 × 456.17
  4. Step 4: Simplify right side
    829.15x = 521,972.52
  5. Step 5: Solve for x
    x = 521,972.52/829.15
  6. Step 6: Final answer
    x = 629.53

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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.