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Finding the Fourth Proportional to 409.31, 613.84 and 316.70

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Solution

The fourth proportional to 409.31, 613.84 and 316.70 is: 474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.31 : 613.84 = 316.70 : x
  2. Step 2: Convert to fraction form
    409.31/613.84 = 316.70/x
  3. Step 3: Cross multiply
    409.31x = 613.84 × 316.70
  4. Step 4: Simplify right side
    409.31x = 194,403.13
  5. Step 5: Solve for x
    x = 194,403.13/409.31
  6. Step 6: Final answer
    x = 474.95

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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.