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Finding the Fourth Proportional to 518.96, 777.23 and 472.82

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Solution

The fourth proportional to 518.96, 777.23 and 472.82 is: 708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.96 : 777.23 = 472.82 : x
  2. Step 2: Convert to fraction form
    518.96/777.23 = 472.82/x
  3. Step 3: Cross multiply
    518.96x = 777.23 × 472.82
  4. Step 4: Simplify right side
    518.96x = 367,489.78
  5. Step 5: Solve for x
    x = 367,489.78/518.96
  6. Step 6: Final answer
    x = 708.13

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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.