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Finding the Fourth Proportional to 1,435.92, 2,153.84 and 613.78

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Solution

The fourth proportional to 1,435.92, 2,153.84 and 613.78 is: 920.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.92 : 2,153.84 = 613.78 : x
  2. Step 2: Convert to fraction form
    1,435.92/2,153.84 = 613.78/x
  3. Step 3: Cross multiply
    1,435.92x = 2,153.84 × 613.78
  4. Step 4: Simplify right side
    1,435.92x = 1,321,983.92
  5. Step 5: Solve for x
    x = 1,321,983.92/1,435.92
  6. Step 6: Final answer
    x = 920.65

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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.