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Finding the Fourth Proportional to 480.47, 719.70 and 445.88

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Solution

The fourth proportional to 480.47, 719.70 and 445.88 is: 667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.47 : 719.70 = 445.88 : x
  2. Step 2: Convert to fraction form
    480.47/719.70 = 445.88/x
  3. Step 3: Cross multiply
    480.47x = 719.70 × 445.88
  4. Step 4: Simplify right side
    480.47x = 320,899.15
  5. Step 5: Solve for x
    x = 320,899.15/480.47
  6. Step 6: Final answer
    x = 667.89

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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.