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Finding the Fourth Proportional to 409.12, 613.98 and 317.59

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Solution

The fourth proportional to 409.12, 613.98 and 317.59 is: 476.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.12 : 613.98 = 317.59 : x
  2. Step 2: Convert to fraction form
    409.12/613.98 = 317.59/x
  3. Step 3: Cross multiply
    409.12x = 613.98 × 317.59
  4. Step 4: Simplify right side
    409.12x = 194,993.91
  5. Step 5: Solve for x
    x = 194,993.91/409.12
  6. Step 6: Final answer
    x = 476.62

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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.