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Finding the Fourth Proportional to 1,107.71, 1,661.54 and 377.79

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Solution

The fourth proportional to 1,107.71, 1,661.54 and 377.79 is: 566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.71 : 1,661.54 = 377.79 : x
  2. Step 2: Convert to fraction form
    1,107.71/1,661.54 = 377.79/x
  3. Step 3: Cross multiply
    1,107.71x = 1,661.54 × 377.79
  4. Step 4: Simplify right side
    1,107.71x = 627,713.20
  5. Step 5: Solve for x
    x = 627,713.20/1,107.71
  6. Step 6: Final answer
    x = 566.68

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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.