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Finding the Fourth Proportional to 409.78, 613.86 and 318.16

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Solution

The fourth proportional to 409.78, 613.86 and 318.16 is: 476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.78 : 613.86 = 318.16 : x
  2. Step 2: Convert to fraction form
    409.78/613.86 = 318.16/x
  3. Step 3: Cross multiply
    409.78x = 613.86 × 318.16
  4. Step 4: Simplify right side
    409.78x = 195,305.70
  5. Step 5: Solve for x
    x = 195,305.70/409.78
  6. Step 6: Final answer
    x = 476.61

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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.