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Finding the Fourth Proportional to 592.45, 818.09 and 371.78

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Solution

The fourth proportional to 592.45, 818.09 and 371.78 is: 513.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.45 : 818.09 = 371.78 : x
  2. Step 2: Convert to fraction form
    592.45/818.09 = 371.78/x
  3. Step 3: Cross multiply
    592.45x = 818.09 × 371.78
  4. Step 4: Simplify right side
    592.45x = 304,145.41
  5. Step 5: Solve for x
    x = 304,145.41/592.45
  6. Step 6: Final answer
    x = 513.37

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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.