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Finding the Fourth Proportional to 1,107.45, 1,661.46 and 377.07

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Solution

The fourth proportional to 1,107.45, 1,661.46 and 377.07 is: 565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.45 : 1,661.46 = 377.07 : x
  2. Step 2: Convert to fraction form
    1,107.45/1,661.46 = 377.07/x
  3. Step 3: Cross multiply
    1,107.45x = 1,661.46 × 377.07
  4. Step 4: Simplify right side
    1,107.45x = 626,486.72
  5. Step 5: Solve for x
    x = 626,486.72/1,107.45
  6. Step 6: Final answer
    x = 565.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.