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Finding the Fourth Proportional to 488.36, 731.44 and 450.42

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Solution

The fourth proportional to 488.36, 731.44 and 450.42 is: 674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.36 : 731.44 = 450.42 : x
  2. Step 2: Convert to fraction form
    488.36/731.44 = 450.42/x
  3. Step 3: Cross multiply
    488.36x = 731.44 × 450.42
  4. Step 4: Simplify right side
    488.36x = 329,455.20
  5. Step 5: Solve for x
    x = 329,455.20/488.36
  6. Step 6: Final answer
    x = 674.62

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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.