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Finding the Fourth Proportional to 394.46, 590.81 and 317.23

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Solution

The fourth proportional to 394.46, 590.81 and 317.23 is: 475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.46 : 590.81 = 317.23 : x
  2. Step 2: Convert to fraction form
    394.46/590.81 = 317.23/x
  3. Step 3: Cross multiply
    394.46x = 590.81 × 317.23
  4. Step 4: Simplify right side
    394.46x = 187,419.59
  5. Step 5: Solve for x
    x = 187,419.59/394.46
  6. Step 6: Final answer
    x = 475.13

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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.