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Finding the Fourth Proportional to 519.04, 777.42 and 262

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Solution

The fourth proportional to 519.04, 777.42 and 262 is: 392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.04 : 777.42 = 262 : x
  2. Step 2: Convert to fraction form
    519.04/777.42 = 262/x
  3. Step 3: Cross multiply
    519.04x = 777.42 × 262
  4. Step 4: Simplify right side
    519.04x = 203,684.04
  5. Step 5: Solve for x
    x = 203,684.04/519.04
  6. Step 6: Final answer
    x = 392.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.