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Finding the Fourth Proportional to 518.40, 773.55 and 506.05

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Solution

The fourth proportional to 518.40, 773.55 and 506.05 is: 755.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.40 : 773.55 = 506.05 : x
  2. Step 2: Convert to fraction form
    518.40/773.55 = 506.05/x
  3. Step 3: Cross multiply
    518.40x = 773.55 × 506.05
  4. Step 4: Simplify right side
    518.40x = 391,453.04
  5. Step 5: Solve for x
    x = 391,453.04/518.40
  6. Step 6: Final answer
    x = 755.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.