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Finding the Fourth Proportional to 517.64, 777.92 and 482.54

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Solution

The fourth proportional to 517.64, 777.92 and 482.54 is: 725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.64 : 777.92 = 482.54 : x
  2. Step 2: Convert to fraction form
    517.64/777.92 = 482.54/x
  3. Step 3: Cross multiply
    517.64x = 777.92 × 482.54
  4. Step 4: Simplify right side
    517.64x = 375,377.52
  5. Step 5: Solve for x
    x = 375,377.52/517.64
  6. Step 6: Final answer
    x = 725.17

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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.