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Finding the Fourth Proportional to 1,107.99, 1,661.74 and 328.05

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Solution

The fourth proportional to 1,107.99, 1,661.74 and 328.05 is: 492.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.99 : 1,661.74 = 328.05 : x
  2. Step 2: Convert to fraction form
    1,107.99/1,661.74 = 328.05/x
  3. Step 3: Cross multiply
    1,107.99x = 1,661.74 × 328.05
  4. Step 4: Simplify right side
    1,107.99x = 545,133.81
  5. Step 5: Solve for x
    x = 545,133.81/1,107.99
  6. Step 6: Final answer
    x = 492.00

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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.