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Finding the Fourth Proportional to 1,600.79, 2,399.53 and 613.33

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Solution

The fourth proportional to 1,600.79, 2,399.53 and 613.33 is: 919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.79 : 2,399.53 = 613.33 : x
  2. Step 2: Convert to fraction form
    1,600.79/2,399.53 = 613.33/x
  3. Step 3: Cross multiply
    1,600.79x = 2,399.53 × 613.33
  4. Step 4: Simplify right side
    1,600.79x = 1,471,703.73
  5. Step 5: Solve for x
    x = 1,471,703.73/1,600.79
  6. Step 6: Final answer
    x = 919.36

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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.