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Finding the Fourth Proportional to 662.99, 994.70 and 316.58

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Solution

The fourth proportional to 662.99, 994.70 and 316.58 is: 474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.99 : 994.70 = 316.58 : x
  2. Step 2: Convert to fraction form
    662.99/994.70 = 316.58/x
  3. Step 3: Cross multiply
    662.99x = 994.70 × 316.58
  4. Step 4: Simplify right side
    662.99x = 314,897.94
  5. Step 5: Solve for x
    x = 314,897.94/662.99
  6. Step 6: Final answer
    x = 474.97

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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.