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Finding the Fourth Proportional to 1,776.69, 2,665.08 and 478.17

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Solution

The fourth proportional to 1,776.69, 2,665.08 and 478.17 is: 717.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.69 : 2,665.08 = 478.17 : x
  2. Step 2: Convert to fraction form
    1,776.69/2,665.08 = 478.17/x
  3. Step 3: Cross multiply
    1,776.69x = 2,665.08 × 478.17
  4. Step 4: Simplify right side
    1,776.69x = 1,274,361.30
  5. Step 5: Solve for x
    x = 1,274,361.30/1,776.69
  6. Step 6: Final answer
    x = 717.27

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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.