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Finding the Fourth Proportional to 517.70, 776.73 and 286.85

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Solution

The fourth proportional to 517.70, 776.73 and 286.85 is: 430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.70 : 776.73 = 286.85 : x
  2. Step 2: Convert to fraction form
    517.70/776.73 = 286.85/x
  3. Step 3: Cross multiply
    517.70x = 776.73 × 286.85
  4. Step 4: Simplify right side
    517.70x = 222,805.00
  5. Step 5: Solve for x
    x = 222,805.00/517.70
  6. Step 6: Final answer
    x = 430.37

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1.5x scale

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.