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Finding the Fourth Proportional to 1,777, 2,665.48 and 478.42

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Solution

The fourth proportional to 1,777, 2,665.48 and 478.42 is: 717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777 : 2,665.48 = 478.42 : x
  2. Step 2: Convert to fraction form
    1,777/2,665.48 = 478.42/x
  3. Step 3: Cross multiply
    1,777x = 2,665.48 × 478.42
  4. Step 4: Simplify right side
    1,777x = 1,275,218.94
  5. Step 5: Solve for x
    x = 1,275,218.94/1,777
  6. Step 6: Final answer
    x = 717.62

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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.