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Finding the Fourth Proportional to 1,600.43, 2,400.27 and 613.04

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Solution

The fourth proportional to 1,600.43, 2,400.27 and 613.04 is: 919.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.43 : 2,400.27 = 613.04 : x
  2. Step 2: Convert to fraction form
    1,600.43/2,400.27 = 613.04/x
  3. Step 3: Cross multiply
    1,600.43x = 2,400.27 × 613.04
  4. Step 4: Simplify right side
    1,600.43x = 1,471,461.52
  5. Step 5: Solve for x
    x = 1,471,461.52/1,600.43
  6. Step 6: Final answer
    x = 919.42

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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.