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Finding the Fourth Proportional to 829.09, 1,144.12 and 456.06

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Solution

The fourth proportional to 829.09, 1,144.12 and 456.06 is: 629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.09 : 1,144.12 = 456.06 : x
  2. Step 2: Convert to fraction form
    829.09/1,144.12 = 456.06/x
  3. Step 3: Cross multiply
    829.09x = 1,144.12 × 456.06
  4. Step 4: Simplify right side
    829.09x = 521,787.37
  5. Step 5: Solve for x
    x = 521,787.37/829.09
  6. Step 6: Final answer
    x = 629.35

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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.