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Finding the Fourth Proportional to 613.37, 919.01 and 407.99

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Solution

The fourth proportional to 613.37, 919.01 and 407.99 is: 611.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.37 : 919.01 = 407.99 : x
  2. Step 2: Convert to fraction form
    613.37/919.01 = 407.99/x
  3. Step 3: Cross multiply
    613.37x = 919.01 × 407.99
  4. Step 4: Simplify right side
    613.37x = 374,945.04
  5. Step 5: Solve for x
    x = 374,945.04/613.37
  6. Step 6: Final answer
    x = 611.28

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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.