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Finding the Fourth Proportional to 517.71, 776.64 and 209.60

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Solution

The fourth proportional to 517.71, 776.64 and 209.60 is: 314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.71 : 776.64 = 209.60 : x
  2. Step 2: Convert to fraction form
    517.71/776.64 = 209.60/x
  3. Step 3: Cross multiply
    517.71x = 776.64 × 209.60
  4. Step 4: Simplify right side
    517.71x = 162,779.86
  5. Step 5: Solve for x
    x = 162,779.86/517.71
  6. Step 6: Final answer
    x = 314.42

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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.