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Finding the Fourth Proportional to 518.21, 776.93 and 312.74

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Solution

The fourth proportional to 518.21, 776.93 and 312.74 is: 468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.21 : 776.93 = 312.74 : x
  2. Step 2: Convert to fraction form
    518.21/776.93 = 312.74/x
  3. Step 3: Cross multiply
    518.21x = 776.93 × 312.74
  4. Step 4: Simplify right side
    518.21x = 242,973.99
  5. Step 5: Solve for x
    x = 242,973.99/518.21
  6. Step 6: Final answer
    x = 468.87

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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.