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Finding the Fourth Proportional to 485.20, 729.40 and 446.80

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Solution

The fourth proportional to 485.20, 729.40 and 446.80 is: 671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.20 : 729.40 = 446.80 : x
  2. Step 2: Convert to fraction form
    485.20/729.40 = 446.80/x
  3. Step 3: Cross multiply
    485.20x = 729.40 × 446.80
  4. Step 4: Simplify right side
    485.20x = 325,895.92
  5. Step 5: Solve for x
    x = 325,895.92/485.20
  6. Step 6: Final answer
    x = 671.67

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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.