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Finding the Fourth Proportional to 518.19, 775.89 and 312.46

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Solution

The fourth proportional to 518.19, 775.89 and 312.46 is: 467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.19 : 775.89 = 312.46 : x
  2. Step 2: Convert to fraction form
    518.19/775.89 = 312.46/x
  3. Step 3: Cross multiply
    518.19x = 775.89 × 312.46
  4. Step 4: Simplify right side
    518.19x = 242,434.59
  5. Step 5: Solve for x
    x = 242,434.59/518.19
  6. Step 6: Final answer
    x = 467.85

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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.