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Finding the Fourth Proportional to 517.68, 775.80 and 286.08

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Solution

The fourth proportional to 517.68, 775.80 and 286.08 is: 428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.68 : 775.80 = 286.08 : x
  2. Step 2: Convert to fraction form
    517.68/775.80 = 286.08/x
  3. Step 3: Cross multiply
    517.68x = 775.80 × 286.08
  4. Step 4: Simplify right side
    517.68x = 221,940.86
  5. Step 5: Solve for x
    x = 221,940.86/517.68
  6. Step 6: Final answer
    x = 428.72

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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.