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Finding the Fourth Proportional to 517.13, 776.01 and 208.94

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Solution

The fourth proportional to 517.13, 776.01 and 208.94 is: 313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.13 : 776.01 = 208.94 : x
  2. Step 2: Convert to fraction form
    517.13/776.01 = 208.94/x
  3. Step 3: Cross multiply
    517.13x = 776.01 × 208.94
  4. Step 4: Simplify right side
    517.13x = 162,140.13
  5. Step 5: Solve for x
    x = 162,140.13/517.13
  6. Step 6: Final answer
    x = 313.54

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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.