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Finding the Fourth Proportional to 518.34, 777.99 and 506.46

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Solution

The fourth proportional to 518.34, 777.99 and 506.46 is: 760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.34 : 777.99 = 506.46 : x
  2. Step 2: Convert to fraction form
    518.34/777.99 = 506.46/x
  3. Step 3: Cross multiply
    518.34x = 777.99 × 506.46
  4. Step 4: Simplify right side
    518.34x = 394,020.82
  5. Step 5: Solve for x
    x = 394,020.82/518.34
  6. Step 6: Final answer
    x = 760.16

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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.