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Finding the Fourth Proportional to 515.63, 773.15 and 342.39

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Solution

The fourth proportional to 515.63, 773.15 and 342.39 is: 513.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.63 : 773.15 = 342.39 : x
  2. Step 2: Convert to fraction form
    515.63/773.15 = 342.39/x
  3. Step 3: Cross multiply
    515.63x = 773.15 × 342.39
  4. Step 4: Simplify right side
    515.63x = 264,720.02
  5. Step 5: Solve for x
    x = 264,720.02/515.63
  6. Step 6: Final answer
    x = 513.39

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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.