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Finding the Fourth Proportional to 613.93, 918.59 and 366.22

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Solution

The fourth proportional to 613.93, 918.59 and 366.22 is: 547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.93 : 918.59 = 366.22 : x
  2. Step 2: Convert to fraction form
    613.93/918.59 = 366.22/x
  3. Step 3: Cross multiply
    613.93x = 918.59 × 366.22
  4. Step 4: Simplify right side
    613.93x = 336,406.03
  5. Step 5: Solve for x
    x = 336,406.03/613.93
  6. Step 6: Final answer
    x = 547.96

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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.