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Finding the Fourth Proportional to 408.81, 612.60 and 317.07

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Solution

The fourth proportional to 408.81, 612.60 and 317.07 is: 475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.81 : 612.60 = 317.07 : x
  2. Step 2: Convert to fraction form
    408.81/612.60 = 317.07/x
  3. Step 3: Cross multiply
    408.81x = 612.60 × 317.07
  4. Step 4: Simplify right side
    408.81x = 194,237.08
  5. Step 5: Solve for x
    x = 194,237.08/408.81
  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.