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Finding the Fourth Proportional to 409.06, 612.15 and 317.17

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Solution

The fourth proportional to 409.06, 612.15 and 317.17 is: 474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.06 : 612.15 = 317.17 : x
  2. Step 2: Convert to fraction form
    409.06/612.15 = 317.17/x
  3. Step 3: Cross multiply
    409.06x = 612.15 × 317.17
  4. Step 4: Simplify right side
    409.06x = 194,155.62
  5. Step 5: Solve for x
    x = 194,155.62/409.06
  6. Step 6: Final answer
    x = 474.64

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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.