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Finding the Fourth Proportional to 658.96, 989 and 334.64

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Solution

The fourth proportional to 658.96, 989 and 334.64 is: 502.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.96 : 989 = 334.64 : x
  2. Step 2: Convert to fraction form
    658.96/989 = 334.64/x
  3. Step 3: Cross multiply
    658.96x = 989 × 334.64
  4. Step 4: Simplify right side
    658.96x = 330,958.96
  5. Step 5: Solve for x
    x = 330,958.96/658.96
  6. Step 6: Final answer
    x = 502.24

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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.