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Finding the Fourth Proportional to 511.88, 766.86 and 506.20

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Solution

The fourth proportional to 511.88, 766.86 and 506.20 is: 758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.88 : 766.86 = 506.20 : x
  2. Step 2: Convert to fraction form
    511.88/766.86 = 506.20/x
  3. Step 3: Cross multiply
    511.88x = 766.86 × 506.20
  4. Step 4: Simplify right side
    511.88x = 388,184.53
  5. Step 5: Solve for x
    x = 388,184.53/511.88
  6. Step 6: Final answer
    x = 758.35

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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.