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Finding the Fourth Proportional to 523.17, 780.13 and 518.54

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Solution

The fourth proportional to 523.17, 780.13 and 518.54 is: 773.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.17 : 780.13 = 518.54 : x
  2. Step 2: Convert to fraction form
    523.17/780.13 = 518.54/x
  3. Step 3: Cross multiply
    523.17x = 780.13 × 518.54
  4. Step 4: Simplify right side
    523.17x = 404,528.61
  5. Step 5: Solve for x
    x = 404,528.61/523.17
  6. Step 6: Final answer
    x = 773.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.