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Finding the Fourth Proportional to 797.43, 1,098.96 and 576

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Solution

The fourth proportional to 797.43, 1,098.96 and 576 is: 793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.43 : 1,098.96 = 576 : x
  2. Step 2: Convert to fraction form
    797.43/1,098.96 = 576/x
  3. Step 3: Cross multiply
    797.43x = 1,098.96 × 576
  4. Step 4: Simplify right side
    797.43x = 633,000.96
  5. Step 5: Solve for x
    x = 633,000.96/797.43
  6. Step 6: Final answer
    x = 793.80

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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.