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Finding the Fourth Proportional to 829.39, 1,144.81 and 534.65

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Solution

The fourth proportional to 829.39, 1,144.81 and 534.65 is: 737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.39 : 1,144.81 = 534.65 : x
  2. Step 2: Convert to fraction form
    829.39/1,144.81 = 534.65/x
  3. Step 3: Cross multiply
    829.39x = 1,144.81 × 534.65
  4. Step 4: Simplify right side
    829.39x = 612,072.67
  5. Step 5: Solve for x
    x = 612,072.67/829.39
  6. Step 6: Final answer
    x = 737.98

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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.