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Finding the Fourth Proportional to 519.63, 777.63 and 426

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Solution

The fourth proportional to 519.63, 777.63 and 426 is: 637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.63 : 777.63 = 426 : x
  2. Step 2: Convert to fraction form
    519.63/777.63 = 426/x
  3. Step 3: Cross multiply
    519.63x = 777.63 × 426
  4. Step 4: Simplify right side
    519.63x = 331,270.38
  5. Step 5: Solve for x
    x = 331,270.38/519.63
  6. Step 6: Final answer
    x = 637.51

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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.