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Finding the Fourth Proportional to 516.43, 774.65 and 312.45

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Solution

The fourth proportional to 516.43, 774.65 and 312.45 is: 468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.43 : 774.65 = 312.45 : x
  2. Step 2: Convert to fraction form
    516.43/774.65 = 312.45/x
  3. Step 3: Cross multiply
    516.43x = 774.65 × 312.45
  4. Step 4: Simplify right side
    516.43x = 242,039.39
  5. Step 5: Solve for x
    x = 242,039.39/516.43
  6. Step 6: Final answer
    x = 468.68

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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.