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Finding the Fourth Proportional to 522.74, 779.84 and 481.73

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Solution

The fourth proportional to 522.74, 779.84 and 481.73 is: 718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.74 : 779.84 = 481.73 : x
  2. Step 2: Convert to fraction form
    522.74/779.84 = 481.73/x
  3. Step 3: Cross multiply
    522.74x = 779.84 × 481.73
  4. Step 4: Simplify right side
    522.74x = 375,666.02
  5. Step 5: Solve for x
    x = 375,666.02/522.74
  6. Step 6: Final answer
    x = 718.65

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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.