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Finding the Fourth Proportional to 829.62, 1,243.26 and 532.80

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Solution

The fourth proportional to 829.62, 1,243.26 and 532.80 is: 798.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.62 : 1,243.26 = 532.80 : x
  2. Step 2: Convert to fraction form
    829.62/1,243.26 = 532.80/x
  3. Step 3: Cross multiply
    829.62x = 1,243.26 × 532.80
  4. Step 4: Simplify right side
    829.62x = 662,408.93
  5. Step 5: Solve for x
    x = 662,408.93/829.62
  6. Step 6: Final answer
    x = 798.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.