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Finding the Fourth Proportional to 517.71, 776.76 and 312.42

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Solution

The fourth proportional to 517.71, 776.76 and 312.42 is: 468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.71 : 776.76 = 312.42 : x
  2. Step 2: Convert to fraction form
    517.71/776.76 = 312.42/x
  3. Step 3: Cross multiply
    517.71x = 776.76 × 312.42
  4. Step 4: Simplify right side
    517.71x = 242,675.36
  5. Step 5: Solve for x
    x = 242,675.36/517.71
  6. Step 6: Final answer
    x = 468.75

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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.