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Finding the Fourth Proportional to 480.88, 719.48 and 422.64

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Solution

The fourth proportional to 480.88, 719.48 and 422.64 is: 632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.88 : 719.48 = 422.64 : x
  2. Step 2: Convert to fraction form
    480.88/719.48 = 422.64/x
  3. Step 3: Cross multiply
    480.88x = 719.48 × 422.64
  4. Step 4: Simplify right side
    480.88x = 304,081.03
  5. Step 5: Solve for x
    x = 304,081.03/480.88
  6. Step 6: Final answer
    x = 632.34

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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.