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Finding the Fourth Proportional to 592.05, 814.77 and 576.80

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Solution

The fourth proportional to 592.05, 814.77 and 576.80 is: 793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.05 : 814.77 = 576.80 : x
  2. Step 2: Convert to fraction form
    592.05/814.77 = 576.80/x
  3. Step 3: Cross multiply
    592.05x = 814.77 × 576.80
  4. Step 4: Simplify right side
    592.05x = 469,955.26
  5. Step 5: Solve for x
    x = 469,955.26/592.05
  6. Step 6: Final answer
    x = 793.78

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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.