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Finding the Fourth Proportional to 517.96, 780.91 and 482.71

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Solution

The fourth proportional to 517.96, 780.91 and 482.71 is: 727.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.96 : 780.91 = 482.71 : x
  2. Step 2: Convert to fraction form
    517.96/780.91 = 482.71/x
  3. Step 3: Cross multiply
    517.96x = 780.91 × 482.71
  4. Step 4: Simplify right side
    517.96x = 376,953.07
  5. Step 5: Solve for x
    x = 376,953.07/517.96
  6. Step 6: Final answer
    x = 727.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.