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Finding the Fourth Proportional to 663.77, 994.87 and 316.65

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Solution

The fourth proportional to 663.77, 994.87 and 316.65 is: 474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.77 : 994.87 = 316.65 : x
  2. Step 2: Convert to fraction form
    663.77/994.87 = 316.65/x
  3. Step 3: Cross multiply
    663.77x = 994.87 × 316.65
  4. Step 4: Simplify right side
    663.77x = 315,024.79
  5. Step 5: Solve for x
    x = 315,024.79/663.77
  6. Step 6: Final answer
    x = 474.60

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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.