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Finding the Fourth Proportional to 517.08, 775.60 and 286.09

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Solution

The fourth proportional to 517.08, 775.60 and 286.09 is: 429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.08 : 775.60 = 286.09 : x
  2. Step 2: Convert to fraction form
    517.08/775.60 = 286.09/x
  3. Step 3: Cross multiply
    517.08x = 775.60 × 286.09
  4. Step 4: Simplify right side
    517.08x = 221,888.75
  5. Step 5: Solve for x
    x = 221,888.75/517.08
  6. Step 6: Final answer
    x = 429.12

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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.