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Finding the Fourth Proportional to 517.59, 773.04 and 342.63

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Solution

The fourth proportional to 517.59, 773.04 and 342.63 is: 511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.59 : 773.04 = 342.63 : x
  2. Step 2: Convert to fraction form
    517.59/773.04 = 342.63/x
  3. Step 3: Cross multiply
    517.59x = 773.04 × 342.63
  4. Step 4: Simplify right side
    517.59x = 264,867.98
  5. Step 5: Solve for x
    x = 264,867.98/517.59
  6. Step 6: Final answer
    x = 511.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.