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Finding the Fourth Proportional to 613.74, 918.58 and 382.80

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Solution

The fourth proportional to 613.74, 918.58 and 382.80 is: 572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.74 : 918.58 = 382.80 : x
  2. Step 2: Convert to fraction form
    613.74/918.58 = 382.80/x
  3. Step 3: Cross multiply
    613.74x = 918.58 × 382.80
  4. Step 4: Simplify right side
    613.74x = 351,632.42
  5. Step 5: Solve for x
    x = 351,632.42/613.74
  6. Step 6: Final answer
    x = 572.93

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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.