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Finding the Fourth Proportional to 517.70, 775.70 and 286.02

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Solution

The fourth proportional to 517.70, 775.70 and 286.02 is: 428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.70 : 775.70 = 286.02 : x
  2. Step 2: Convert to fraction form
    517.70/775.70 = 286.02/x
  3. Step 3: Cross multiply
    517.70x = 775.70 × 286.02
  4. Step 4: Simplify right side
    517.70x = 221,865.07
  5. Step 5: Solve for x
    x = 221,865.07/517.70
  6. Step 6: Final answer
    x = 428.56

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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.