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Finding the Fourth Proportional to 665.40, 998.55 and 433.73

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Solution

The fourth proportional to 665.40, 998.55 and 433.73 is: 650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.40 : 998.55 = 433.73 : x
  2. Step 2: Convert to fraction form
    665.40/998.55 = 433.73/x
  3. Step 3: Cross multiply
    665.40x = 998.55 × 433.73
  4. Step 4: Simplify right side
    665.40x = 433,096.10
  5. Step 5: Solve for x
    x = 433,096.10/665.40
  6. Step 6: Final answer
    x = 650.88

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1.5x scale

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.