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Finding the Fourth Proportional to 517.79, 777.08 and 381.22

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Solution

The fourth proportional to 517.79, 777.08 and 381.22 is: 572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.79 : 777.08 = 381.22 : x
  2. Step 2: Convert to fraction form
    517.79/777.08 = 381.22/x
  3. Step 3: Cross multiply
    517.79x = 777.08 × 381.22
  4. Step 4: Simplify right side
    517.79x = 296,237.45
  5. Step 5: Solve for x
    x = 296,237.45/517.79
  6. Step 6: Final answer
    x = 572.12

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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.