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Finding the Fourth Proportional to 1,107.68, 1,661.54 and 285.98

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Solution

The fourth proportional to 1,107.68, 1,661.54 and 285.98 is: 428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.68 : 1,661.54 = 285.98 : x
  2. Step 2: Convert to fraction form
    1,107.68/1,661.54 = 285.98/x
  3. Step 3: Cross multiply
    1,107.68x = 1,661.54 × 285.98
  4. Step 4: Simplify right side
    1,107.68x = 475,167.21
  5. Step 5: Solve for x
    x = 475,167.21/1,107.68
  6. Step 6: Final answer
    x = 428.98

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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.