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Finding the Fourth Proportional to 613.78, 919.97 and 266.59

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Solution

The fourth proportional to 613.78, 919.97 and 266.59 is: 399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.78 : 919.97 = 266.59 : x
  2. Step 2: Convert to fraction form
    613.78/919.97 = 266.59/x
  3. Step 3: Cross multiply
    613.78x = 919.97 × 266.59
  4. Step 4: Simplify right side
    613.78x = 245,253.17
  5. Step 5: Solve for x
    x = 245,253.17/613.78
  6. Step 6: Final answer
    x = 399.58

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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.