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Finding the Fourth Proportional to 518.35, 776.50 and 312.31

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Solution

The fourth proportional to 518.35, 776.50 and 312.31 is: 467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.35 : 776.50 = 312.31 : x
  2. Step 2: Convert to fraction form
    518.35/776.50 = 312.31/x
  3. Step 3: Cross multiply
    518.35x = 776.50 × 312.31
  4. Step 4: Simplify right side
    518.35x = 242,508.72
  5. Step 5: Solve for x
    x = 242,508.72/518.35
  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.