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Finding the Fourth Proportional to 517.03, 774.99 and 208.75

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Solution

The fourth proportional to 517.03, 774.99 and 208.75 is: 312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.03 : 774.99 = 208.75 : x
  2. Step 2: Convert to fraction form
    517.03/774.99 = 208.75/x
  3. Step 3: Cross multiply
    517.03x = 774.99 × 208.75
  4. Step 4: Simplify right side
    517.03x = 161,779.16
  5. Step 5: Solve for x
    x = 161,779.16/517.03
  6. Step 6: Final answer
    x = 312.90

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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.