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Finding the Fourth Proportional to 662.85, 994.08 and 315.99

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Solution

The fourth proportional to 662.85, 994.08 and 315.99 is: 473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.85 : 994.08 = 315.99 : x
  2. Step 2: Convert to fraction form
    662.85/994.08 = 315.99/x
  3. Step 3: Cross multiply
    662.85x = 994.08 × 315.99
  4. Step 4: Simplify right side
    662.85x = 314,119.34
  5. Step 5: Solve for x
    x = 314,119.34/662.85
  6. Step 6: Final answer
    x = 473.89

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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.