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Finding the Fourth Proportional to 1,107.24, 1,661.02 and 423.40

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Solution

The fourth proportional to 1,107.24, 1,661.02 and 423.40 is: 635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.24 : 1,661.02 = 423.40 : x
  2. Step 2: Convert to fraction form
    1,107.24/1,661.02 = 423.40/x
  3. Step 3: Cross multiply
    1,107.24x = 1,661.02 × 423.40
  4. Step 4: Simplify right side
    1,107.24x = 703,275.87
  5. Step 5: Solve for x
    x = 703,275.87/1,107.24
  6. Step 6: Final answer
    x = 635.16

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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.