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Finding the Fourth Proportional to 490.34, 732.84 and 451.42

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Solution

The fourth proportional to 490.34, 732.84 and 451.42 is: 674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.34 : 732.84 = 451.42 : x
  2. Step 2: Convert to fraction form
    490.34/732.84 = 451.42/x
  3. Step 3: Cross multiply
    490.34x = 732.84 × 451.42
  4. Step 4: Simplify right side
    490.34x = 330,818.63
  5. Step 5: Solve for x
    x = 330,818.63/490.34
  6. Step 6: Final answer
    x = 674.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.