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Finding the Fourth Proportional to 517.78, 776.87 and 312.50

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Solution

The fourth proportional to 517.78, 776.87 and 312.50 is: 468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.78 : 776.87 = 312.50 : x
  2. Step 2: Convert to fraction form
    517.78/776.87 = 312.50/x
  3. Step 3: Cross multiply
    517.78x = 776.87 × 312.50
  4. Step 4: Simplify right side
    517.78x = 242,771.88
  5. Step 5: Solve for x
    x = 242,771.88/517.78
  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.