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Finding the Fourth Proportional to 518.11, 772.51 and 508.88

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Solution

The fourth proportional to 518.11, 772.51 and 508.88 is: 758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.11 : 772.51 = 508.88 : x
  2. Step 2: Convert to fraction form
    518.11/772.51 = 508.88/x
  3. Step 3: Cross multiply
    518.11x = 772.51 × 508.88
  4. Step 4: Simplify right side
    518.11x = 393,114.89
  5. Step 5: Solve for x
    x = 393,114.89/518.11
  6. Step 6: Final answer
    x = 758.75

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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.