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Finding the Fourth Proportional to 517.82, 777.08 and 286.88

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Solution

The fourth proportional to 517.82, 777.08 and 286.88 is: 430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.82 : 777.08 = 286.88 : x
  2. Step 2: Convert to fraction form
    517.82/777.08 = 286.88/x
  3. Step 3: Cross multiply
    517.82x = 777.08 × 286.88
  4. Step 4: Simplify right side
    517.82x = 222,928.71
  5. Step 5: Solve for x
    x = 222,928.71/517.82
  6. Step 6: Final answer
    x = 430.51

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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.