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Finding the Fourth Proportional to 613.88, 919.00 and 369.66

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Solution

The fourth proportional to 613.88, 919.00 and 369.66 is: 553.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.88 : 919.00 = 369.66 : x
  2. Step 2: Convert to fraction form
    613.88/919.00 = 369.66/x
  3. Step 3: Cross multiply
    613.88x = 919.00 × 369.66
  4. Step 4: Simplify right side
    613.88x = 339,719.37
  5. Step 5: Solve for x
    x = 339,719.37/613.88
  6. Step 6: Final answer
    x = 553.40

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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.